- Finite Interval Convolution Operators with Transmission Property (with R. Duduchava and
F.-O. Speck), Integral Equations and Operator Theory 52 (2005),
165–179.
MSC2000: 47B35 47A05 46E35 45E10
- On the Invertibility of Prandtl Type Operators in Sobolev Spaces
on a Semi-Line, S. Sivasundaram (ed.), ICNPAA 2004: Fifth
International Conference on Mathematical Problems in Engineering and
Aerospace Sciences, Cambridge: Cambridge Scientific Publishers,
2005, 137–144.
MSC2000: 47B35 47A05 47A68 46E35 45E10
- Convolution Operators on Intervals and Their use in Diffraction
Theory (with
F.-O. Speck), CIM Bulletin 19 (2005), 10–18.
MSC2000: 47B35 46E10 47A05 46E35 47A20 47A68 78A45 35J05 35J25
- Inversion of Matrix Convolution Type Operators with Symmetry (with F.-O. Speck), Port.
Math. (N.S.) 62 (2005), 193–216.
MSC2000: 47B35 47A68
- Invertibility of Convolution
Operators arising in Problems of Wave Diffraction by a Strip with
Reactance and Dirichlet Conditions (with
B. Zhang), ZAA Zeitschrift
für Analysis und ihre Anwendungen 24 (2005), 545–560.
MSC2000: 47A05, 47A20, 47A68, 47B35, 35J05, 78A45, 42A75, 42A85, 45E10
- Mixed Boundary Value Problems for the Helmholtz Equation in a
Quadrant (with
F.-O. Speck and F. S. Teixeira), Integral Equations and Operator
Theory 56 (2006), 1–44.
MSC2000: 35J25, 30E25, 47G30, 45E10, 47A53, 47A20
- The Reactance Wave Diffraction Problem by a Strip in a Scale of
Bessel Potential Spaces (with D. Natroshvili), Opuscula
Math. 26 (2006), 289–303.
MSC2000: 35J05, 35J25, 47A53, 47B35, 47F05, 45E10, 78A45
- Factorization Theory for Wiener-Hopf plus Hankel Operators with
Almost Periodic Symbols (with A. P. Nolasco), Contemp. Math. 414 (2006),
111–128.
MSC2000: 47B35, 47A68, 47A53, 42A75
- Wiener-Hopf plus Hankel Operators on the Real Line with Unitary
and Sectorial Symbols (with G. Bogveradze), Contemp. Math. 414 (2006),
77–85.
MSC2000: 47B35, 47A68, 47A53
- The Potential Method for the Reactance Wave Diffraction Problem
in a Scale of Spaces (with
D. Natroshvili), Georgian Math. J. 13 (2006), 251–260.
MSC2000: 35J05, 35J25, 35P25
- Asymmetric Factorizations of Matrix Functions on the Real Line (with R. Duduchava and F.-O. Speck), Operator Theory: Advances
and Applications 170 (2006), 53–74.
MSC2000: 47A68, 15A23, 47B35, 15A21
- Invertibility of Matrix Wiener-Hopf plus Hankel Operators with
APW Fourier Symbols (with G. Bogveradze), Int. J. Math. Math. Sci. 38152
(2006), 1–12.
MSC2000: 47B35, 47A68, 47A53, 42A75
- Wave Scattering by an Elastic Obstacle with Interior Cuts (with D. Natroshvili and
I. G. Stratis), Math. Nachr. 280 (2007),
996–1013.
MSC2000: 31A10, 35J55, 74B05, 74F10
- On Wave Diffraction by a Half-plane with Different Face
Impedances (with
D. Kapanadze), Math. Methods Appl. Sci. 30 (2007), 513–527.
MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30, 47B35
- A Duduchava-Saginashvili's Type Theory for Wiener-Hopf plus
Hankel Operators (with
A. P. Nolasco), J. Math. Anal.
Appl. 331
(2007), 329–341.
MSC2000: 47B35, 47A68, 47A53, 42A75
- Mathematical Treatment of a Wave Diffraction Problem with Higher
Order Boundary Conditions (with A. M.
Simões), in: G. Paltineanu, E. Popescu, I. Toma (ed.), Trends
and Challenges in Applied Mathematics, Bucharest: Matrix Rom
Publishers, 2007, 44–49.
MSC2000: 35J05,
35J25, 47B35, 47A53
- A Boundary-Transmission Problem with First and Second Kind
Conditions for the Helmholtz Equation in Besov and Bessel Potential
Spaces (with
D. Kapanadze), Bull. Greek
Math. Soc. 54
(2007), 79–96.
MSC2000: 35J05, 35J25, 35C15, 47H50
- A Stronger Version of the Sarason's Type Theorem for
Wiener-Hopf-Hankel Operators with SAP Fourier Symbols (with A. P. Nolasco), Bull. Greek Math. Soc. 54
(2007), 59–77.
MSC2000: 47B35, 47A68, 47A53, 42A75
- On the Fredholm Property and Index of Wiener-Hopf plus/minus
Hankel Operators with Piecewise Almost Periodic Symbols (with G. Bogveradze), Appl. Math. Inform. Mech. 12 (2007), 25–40.
MSC2000: 47B35, 47A53, 47A68, 42A75
- The Impedance Boundary-Value Problem of Diffraction by a Strip (with D. Kapanadze), J. Math. Anal. Appl. 337 (2008),
1031–1040.
MSC2000: 35J05, 35J25, 35C15, 47H50
- Mathieu Function and Kontorovich-Lebedev Transforms in the
L-shaped Wave Scattering Problem (with A. H. Kamel), Afr. Diaspora J. Math 5 (2008), 145-161.
MSC2000: 30E25, 33E10, 35J05, 44A15, 45H05
- Invertibility Properties of Matrix Wiener-Hopf plus Hankel
Integral Operators (with G. Bogveradze), Mathematical Modelling
and Analysis 13(1) (2008), 7–16.
MSC2000: 47B35,
47A53, 47A68, 42A75
- Diffraction by a Strip and by a Half-plane with Variable Face
Impedances (with D. Kapanadze), Operator Theory:
Advances and Applications 181 (2008), 159–172.
MSC2000: 35J05,
35J25, 35C15, 47H50
- Diffraction by a Union of Strips with Impedance Conditions in
Besov and Bessel Potential Spaces (with D. Kapanadze), Mathematical Modelling
and Analysis 13(2) (2008), 183–194.
MSC2000: 35J05,
35J25, 35C15, 47H50
- On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel
Operators with Semi-Almost Periodic Symbols (with
G. Bogveradze), Operator Theory: Advances and Applications 181
(2008), 143–158.
MSC2000: 47A53,
47B35, 47A68, 42A75
- Wave Diffraction by a 45 Degrees Wedge Sector with Dirichlet and
Neumann Boundary Conditions (with
D. Kapanadze), Mathematical and Computer Modelling 48 (2008),
114–121.
MSC2000: 35J05,
35J25, 35C15, 47H50, 47G30
- Solvability of Singular Integro-Differential Equations with
Multiple Complex Shifts (with R. Duduchava and
F.-O. Speck), Complex Analysis and Operator Theory 2 (2008),
327–343.
MSC2000: 45E10,
47B35, 47A53, 47A68
- Pseudo-differential Operators in a Wave Diffraction Problem with
Impedance Conditions (with
D. Kapanadze), Fractional Calculus & Applied Analysis 11
(2008), 15–26.
MSC2000: 35J05,
35J25, 35C15, 47H50, 47G30
- Analytical Investigation of the Effective Properties of 2D
Composite Materials (with
E. Pesetskaya), in: A. J. M. Ferreira (ed.) et al, Proceedings of the
International Conference on Mathematics and Continuum Mechanics, Centro
Internacional de Matemática, 2008, 13–18.
MSC2000: 30D05,
30E25, 35B27, 74Q05
- Similarity Transformation Methods for Singular Integral Operators
with Reflection on Weighted Lebesgue Spaces (with E. M. Rojas), Int.
J. Mod. Math. 3(3) (2008), 295–313.
- Wave Diffraction by a Strip with First and Second Kind Boundary
Conditions: The Real Wave Number Case (with D. Kapanadze), Math. Nachr. 281(10) (2008),
1400–1411.
MSC2000: 35J05, 35J25, 35C15, 47H50
- Reduction of Singular Integral Operators with Flip and Their
Fredholm Property (with E. Rojas), Lobachevskii J. Math.
29(3) (2008), 119–129.
MSC2000: 47G10,
47B35, 47A53, 45E05, 45F15, 47A20
- Toeplitz Plus Hankel Operators with Infinite Index (with G. Bogveradze),
Integral Equations and Operator Theory 62(1) (2008), 43–63.
MSC2000: 47B35,
47A53, 47A68, 42A75
- Dirichlet-Neumann-impedance Boundary-value Problems Arising in
Rectangular Wedge Diffraction Problems (with
D. Kapanadze), Proceedings of the American Mathematical Society
136 (2008), 2113–2123.
MSC2000: 35J05,
35J25, 35C15, 47H50
- Invertibility of Matrix Wiener-Hopf plus Hankel Operators with
Symbols Producing a Positive Numerical Range (with A. S. Silva), Zeitschrift für Analysis und ihre
Anwendungen 28(1) (2009), 119–127.
MSC2000: 47B35,
47A05, 47A12, 47A20, 42A75.
- Invertibility Characterization of Wiener-Hopf plus Hankel
Operators Via Odd Asymmetric Factorizations (with
G. Bogveradze), Banach J. Math. Anal.
3(1) (2009), 1–18.
MSC2000: 47B35, 47A68, 47A53
- A Criterion for Lateral Invertibility of Matrix Wiener-Hopf plus
Hankel Operators with Good Hausdorff Sets (with A. P. Nolasco), in: More Progresses in
Analysis (H. G. W. Begehr and F. Nicolosi, eds), Hackensack, NJ:
World Scientific Publishing, 2009, 349–358.
MSC2000: 47B35,
47A68, 47A05, 42A75
- Explicit Operator Relations for Singular Integral Operators with
a Flip on a Weighted Lebesgue Space (with E. M. Rojas), in: Mathematical
Problems in Engineering and Aerospace Sciences (S. Sivasundaram,
ed.), Cambridge: Cambridge Scientific Publishers, 2009, 543-550.
MSC2000: 47G10,
47A53, 45E05, 45F15, 47A20
- Fredholm Analysis for a Wave Diffraction Problem with Higher
Order Boundary Conditions on a Strip (with A. M. Simões), in: Mathematical
Problems in Engineering and Aerospace Sciences (S. Sivasundaram,
ed.), Cambridge: Cambridge Scientific Publishers, 2009, 535-542.
MSC2000: 47A53,
35J25, 78A45, 47A20, 47B35, 45E10
- Hyers-Ulam-Rassias Stability for a Class of Nonlinear Volterra Integral
Equations (with
A. Ramos), Banach J. Math. Anal.
3(1) (2009), 36–43.
MSC2000: 45D05, 26D10, 34K20, 47H10
- Effective Conductivity of a Composite Material with Non-ideal
Contact Conditions (with E. Pesetskaya and S.
Rogosin), Complex Variables and Elliptic Equations 54 (2009),
1085–1100.
MSC2000: 30E25,
35B27, 74Q05
- Fredholm Analysis for a Wave Diffraction Problem with Higher
Order Boundary Conditions on a Union of Strips (with A. M. Simões), American Institute of Physics, AIP
- Conf. Proc.
1186 (2009),
49–56.
MSC2000: 47A53, 35J25, 78A45, 47A20, 47B35, 45E10.
- A Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators with
Piecewise Almost Periodic Fourier Symbols (with A.P. Nolasco), Journal of Operator
Theory 62(1) 2009, 3–31.
MSC2000: 47B35,
47A68, 47A53, 42A75
- A Transmission Problem with Imperfect Contact for an Unbounded
Multiply Connected Domain (with E. Pesetskaya), Mathematical
Methods in the Applied Sciences 33 (2010), 517–526.
MSC2000: 30E25,
30D05, 31A05, 35B27, 39B32, 74E30, 74G10, 74M15, 74Q05
- Fredholm Characterization of Wiener-Hopf-Hankel Integral
Operators with Piecewise Almost Periodic Symbols (with G. Bogveradze), in: Integral Methods in Science and
Engineering (C. Constanda et al., eds.), Boston: Birkhäuser,
2010, 65–74.
MSC2000: 47B35,
47A53, 47A68, 42A75.
- Hyers-Ulam and Hyers-Ulam-Rassias Stability of Volterra Integral
Equations with a Delay (with A. Ramos), in: Integral Methods in Science and
Engineering (C. Constanda et al., eds.), Boston: Birkhäuser,
2010, 85–94.
MSC2000: 45M10,
45D05, 34K20.
- Source Inversion of Heat Conduction from a Finite Number of
Observation Data (with Q. Chen and S.
Saitoh), Applicable Analysis 89(6) (2010), 801–813.
MSC2000: 30E25,
35B27, 74Q05.
- Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and
Minus Hankel Operators with Symmetry (with
A. Silva), in: Integral Methods in Science and Engineering (C.
Constanda et al., eds.), Boston: Birkhäuser, 2010, 95–104.
MSC2000: 47B35,
47A53, 42A75.
- Invertibility of Singular Integral Operators with Flip through
Explicit Operator Relations (with
E. M. Rojas), in: Integral Methods in Science and Engineering (C.
Constanda et al., eds.), Boston: Birkhäuser, 2010, 105–114.
MSC2000: 47G10,
47A53, 45E05, 45F15, 47A20.
- Exterior Wedge Diffraction Problems with Dirichlet, Neumann and
Impedance Boundary Conditions (with D. Kapanadze), Acta Appl. Math. 110 (2010), 289–311.
MSC2000: 35J25, 35J05, 45E10, 47A20, 47G30, 47B35, 47H50
- Inversion from different kinds of information and real inversion
formulas of the Laplace transform from a finite number of data (with E.M. Rojas and S. Saitoh), Math. Eng. Sci. Aerosp. MESA 1(2) (2010), 181–190.
MSC2000: 44A10, 46E22, 47A52, 44A15, 30C40.
- Explicit solutions of Cauchy singular integral equations with
weighted Carleman shift (with E. M. Rojas), Journal of Mathematical Analysis and
Applications 371 (2010), 128–133.
MSC2000: 47G10,
47A68, 45E05, 45P05, 30E25, 47B37
- Discretization by the theory of reproducing kernels (with S. Saitoh, Y. Sawano and A. M. Simões), RIMS
Kôkyûroku 1719
(2010), 142–154.
- On the Solvability of a Problem of Wave Diffraction by a Union of
a Strip and a Half-Plane (with A. M.
Simões), American Institute of Physics, AIP - Conf. Proc. 1301
(2010), 85–96.
PACS: 02.30.Tb; 43.20.Bi; 41.20.Jb; 02.30.Jr; 02.30.Sa; 02.30.Rz;
02.30.Uu.
- Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on
Weighted Lebesgue Spaces (with A. S. Silva), American
Institute of Physics, AIP - Conf. Proc. 1301
(2010), 77–84.
PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa
- Bounds for the Kernel Dimension of Singular Integral Operators
with Carleman Shift (with E. M. Rojas), American Institute of
Physics, AIP - Conf. Proc.
1301 (2010),
68–76.
PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa
- A collocation method for singular integral operators with
reflection (with E. M. Rojas), RIMS
Kôkyûroku 1719
(2010), 155–167.
- Fredholm
property of matrix Wiener-Hopf plus and minus Hankel operators with piecewise almost periodic symbols (with A. S. Silva), Bull. Greek Math. Soc. 57 (2010),
99–113.
- Moore-Penrose
invertibility of singular integral operators with Carleman shift, Bull. Greek Math. Soc. 57 (2010),
83–97.
- Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel
Operators with Semi-Almost Periodic Symbols (with
A. S. Silva), Cubo 12(2) (2010), 217–234.
MSC2000: 47B35, 47A05, 47A12, 47A20, 42A75.
- Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise
almost periodic symbols on weighted Lebesgue spaces (with A. S. Silva), Memoirs on Differential Equations and
Mathematical Physics 53 (2011), 39–62.
MSC2000: 47B35, 42A75, 47A53, 47A68, 47G10.
- On
the invertibility of classes of integral operators via generalized
factorizations
(with A. S. Silva), American Institute of Physics, AIP - Conf. Proc.
1404 (2011), 242–249. PACS:
02.30.Tb; 02.30.Rz; 02.30.Sa
- Semi-Fredholm
Theory for Wiener-Hopf-Hankel Operators on Muckenhoupt Weighted Lebesgue Spaces (with A. S. Silva), MESA –
Mathematics in Engineering, Science and Aerospace 2, No. 4 (2011), 341–353. MSC2000:
47B35, 47A53, 42A75.
- Hyers-Ulam
Stability for a Class of Fredholm Integral Equations (with A. Ramos), Proceedings of the 8th
International Conference of Mathematical Problems in Engineering,
Aerospace and Science, Cambridge Scientific Publishers (ISBN:
978-1-908106-18-6), UK, 2011, 171–176. MSC2000:
45M10, 45D05, 34K20.
- Wiener-Hopf-Hankel
Operators with Semi-almost Periodic Symbols on Weighted Lebesgue Spaces (with A. S. Silva), Proceedings of the
8th International Conference of Mathematical Problems in
Engineering, Aerospace and Science, Cambridge Scientific Publishers
(ISBN: 978-1-908106-18-6), UK, 2011, 193–202. MSC2000:
45M10, 45D05, 34K20.
- Splitting
Property for Singular Integral Operators with a Weighted Shift (with E. M. Rojas), Proceedings of
the 8th International Conference of Mathematical Problems in
Engineering, Aerospace and Science, Cambridge Scientific Publishers (ISBN:
978-1-908106-18-6), UK, 2011, 177–184.
- Continuous
coefficient representations for singular integral operators with shift (with E. M. Rojas), Proceedings of the 8th
International Conference of Mathematical Problems in Engineering, Aerospace and
Science, Cambridge Scientific Publishers (ISBN: 978-1-908106-18-6), UK,
2011, 185–192.
- Electromagnetic scattering by cylindrical orthotropic waveguide
irises (with D. Kapanadze and R. Duduchava), Georgian
Mathematical Journal 18 (2011), 99–120.
MSC2000: 30E25, 35B27, 74Q05.
- On the invertibility of singular integral equations with reflection
on the unit circle (with E. Rojas), Integral Equations and
Operator Theory 70 (2011), 63–99.
MSC2000: 45E05, 30E20, 30E25, 45E10, 47A68, 47G10.
- General inhomogeneous discrete linear partial differential
equations with constant coefficients on the whole spaces (with S. Saitoh, Y. Sawano
and A. Simões), Complex Analysis and Operator Theory 6 (2012), 307–324.
MSC2000: 47B35, 47A05, 47A12, 47A20, 42A75.
- Defect numbers of singular integral operators with Carleman shift
and almost periodic coefficients (with
A. S. Silva), J. Math. Anal. Appl. 387 (2012), 66–76.
MSC2000: 47B35, 45E05, 47A68, 47B37, 47G10, 47A53,
42A75.
- Applications of reproducing kernels to fractional functions and
convolution integral equations (with
S. Saitoh), Hokkaido
University Technical Report Series in Mathematics 152 (2012), 57–63. MSC2000:
45E10, 46E22, 47A30, 47B32, 47B38, 47G10.
- Integral equation methods in problems of wave diffraction by a
strip with higher order reactance conditions (with A.M. Simões), American Institute of Physics, AIP - Conf. Proc.
1493, 904–910, NY, 2012.
- Natural outputs and global inputs of linear systems with a finite
number of input data (with S. Saitoh), Appl.
Anal. 91(2), (2012)
225–236.
MSC2000: 44A15; 46E22; 35K05; 30C40; 35L05.
- Fundamental error estimate inequalities for the Tikhonov
regularization using reproducing kernels (with H. Fujiwara, S. Saitoh, Y. Sawano, A.
Yamada, M. Yamada), Inequalities and Applications, International Series of Numerical
Mathematics 161, Birkhauser Verlag, 87–101, 2012.
- Discrete
Linear Differential Equations (with S. Saitoh, Y.
Sawano, A. S. Silva), Analysis, 32 (2012), 181–198. MSC2010:
34A25, 34B05, 30C40, 46E22, 47B32, 47A52.
- A new discretization method by means of reproducing kernels (with H. Fujiwara,
M.M. Rodrigues, S. Saitoh), L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis, 185—223, Science and Technics Publishing House, Ministry for Science
and Technology of Vietnam, Ha Noi, 2012.
- Applications of reproducing kernels to fractional functions and
convolution inequalities (with S. Saitoh), Progress in Analysis, Volume 1
(eds.: V. Burenkov et al.), Moscow, Peoples' Friendship University of
Russia, 2012, 230—237.
- Numerical Solutions of Linear Singular Integral Equations by
means of Tikhonov Regularization and Reproducing Kernels (with H. Itou and S. Saitoh), Houston Journal of Mathematics, 38(4)
(2012), 1261—1276.
MSC2000: 45E05, 45L05, 30C40, 65R20.
- Wiener-Hopf-Hankel operators with piecewise continuous Fourier
Symbols on variable exponent Lebesgue spaces (with A.S. Silva), L.H. Son, W. Tutschke, edts, Interactions
between Real and Complex Analysis, 243—255, Science and Technics
Publishing House, Ministry for Science and Technology of Vietnam, Ha Noi,
2012.
- Convolutions,
integral transforms and integral equations by means of the theory of reproducing kernels (with S. Saitoh and N. M. Tuan), Opuscula Mathematica, 32(4) (2012), 633—646. MSC2010: 30C40,
42A85, 45E10, 44A20, 46H05.
- New
convolutions and norm inequalities (with S. Saitoh), Mathematical Inequalities & Applications 15 (2012), 707–716.
- Wave
diffraction by a half-plane with an obstacle perpendicular to the
boundary (with D.
Kapanadze), Journal of
Differential Equations 254 (2013), 493—510. MSC2010: 35J25,
35J05, 45E10, 47A20, 47G30, 47B35, 47H50.
- Fractional Functions and their Representations (with S. Saitoh), Complex Analysis and Operator Theory
7(4) (2013), 1049—1063. DOI: 10.1007/s11785-011-0154-1. MSC2010: 46E22, 30C40, 42A38, 47B32.
- Explicit
integral representations of implicit functions (with K. Murata, S. Saitoh and M.
Yamada), Carpathian
Journal of Mathematics 29(2) (2013), 141—148. MSC2010: 26B10, 30C40, 47J07,
93C10.
- Mixed
boundary value problems of diffraction by a half-plane with a
screen/crack perpendicular to the boundary (with D. Kapanadze), Proc. A. Razmadze Math. Inst. 162 (2013), 121—126. MSC2010: 35J05,
35L05, 35L20, 78A45.
- Hyers-Ulam-Rassias
stability of Volterra integral equations within weighted spaces (with R.C. Guerra), Libertas Mathematica (new series)
33 (2013), 21—35. MSC2010: 45M10,
45D05, 34K20, 39B82, 47H99.
- The
Weierstrass—Whittaker integral transform (with M.M. Rodrigues), Memoirs on Differential Equations and
Mathematical Physics 60 (2013), 57—72.
- The
impedance problem of wave diffraction by a strip with higher order
boundary conditions (with A.M.
Simões), American Institute
of Physics, AIP - Conf. Proc., M. D. Todorov et al, 184—193,
NY, 2013.
- Optimal
and approximate solutions of singular integral equations by means of
reproducing kernels (with S.
Saitoh), Complex Analysis and Operator Theory 7 (2013), 1839—1851. DOI 10.1007/s11785-012-0254-6.
- Invertibility
Criteria for Wiener-Hopf plus Hankel Operators with Different Almost Periodic Fourier Symbol Matrices (with A. S. Silva), Annali di Matematica Pura ed Applicata 192 (2013), 1141—1152. DOI 10.1007/s10231-012-0262-1.
- Mixed
boundary value problems of diffraction by a half-plane with an obstacle
perpendicular to the boundary (with D. Kapanadze), Mathematical Methods in Applied Sciences 37 (2014),
1412-1427. MSC2010: 35J05, 35L05, 35L20, 78A45.
- Quadratic
Fourier transforms (with M.R.
Haqueb, M.M. Murshed, S. Saitoh, N.M. Tuan), Annals of Functional Analysis, 5(1) (2014), 10—24. MSC2010: 42A38, 30C40, 32A36, 46E22.
- Aveiro
Discretization Method in Mathematics: A New Discretization Principle (with H. Fujiwara, M. M. Rodrigues, S.
Saitoh and V.K. Tuan), in:
Mathematics without Boundaries: Surveys in Pure Mathematics, Panos
Pardalos and Themistocles M. Rassias
(edts.), Springer-Verlag,
New York, 37—92, 2014. MSC2010:
45E05; 30C40, 42A85, 45E10,
45L05, 44A20, 46H05, 47A30, 47B32, 47B38, 47G10, 65R20.
- A
Bessel differential heat initial value problem in a reproducing kernel
Hilbert space framework (with M.M. Rodrigues and S. Saitoh), American Institute of Physics, AIP - Conf. Proc. 1637 (2014), 165—170.
- How to catch smoothing
properties and analyticity of functions by computers? (with H. Fujiwara, T.
Qian, S. Saitoh), in: Mathematics
without Boundaries: Surveys in Interdisciplinary Research, Panos Pardalos and Themistocles M. Rassias
(edts.), Springer-Verlag,
New York, 101—116, 2014. MSC2010: 30C40, 42A85, 45E10,
44A20, 46H05.
- Diffraction
from polygonal-conical screens, an operator approach (with R. Duduchava and F.-O. Speck), Oper. Theory Adv. Appl. 242
(2014), 113—137.
- Initial value problems in linear
integral operator equations
(with M.M.
Rodrigues, S. Saitoh), in: Topics in Mathematical
Analysis and Applications, Panos Pardalos and Themistocles M. Rassias and Laszlo Toth (edts.),
Springer-Verlag, New York, 175—188, 2014. MSC2010:
45C05, 32A30, 42A38, 45A05, 45D05, 45E05,
45P05, 46E22, 47A05.
- A reproducing kernel Hilbert
space constructive approximation for integral equations with Toeplitz
and Hankel kernels (with A.S. Silva and S. Saitoh), Libertas
Mathematica (New Series) 34(1) (2014), 1—22. MSC2010:
45E10, 15A09,
30C40, 42A85, 44A35, 45N05, 46E22, 47A05, 47B35.
- Diffraction by a half-plane with
different face impedances on an obstacle perpendicular to the boundary (with D.
Kapanadze), Communications in Mathematical Analysis 17(2) (2014), 45—65.
MSC2010: 35J05; 35J25; 35J67; 35S05; 45E10;
46E35; 47A53; 47G30; 47G40; 78A45.
- Interplay
of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols
on standard and variable exponent Lebesgue spaces (with A.S. Silva), Annals of Functional Analysis 6(2) (2015), 49—59. MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75.
- Wave
diffraction by wedges having arbitrary aperture angle (with D.
Kapanadze), Journal of Mathematical Analysis and Applications 421 (2015), 1295—1314. MSC2010: 35J05; 35J25; 35J67; 35S05; 45E10; 46E35; 47A53; 47G30;
47G40; 78A45.
- A
fundamental theorem on initial value problems by using the theory of
reproducing kernels (with M.M. Rodrigues and S. Saitoh), Complex
Analysis and Operator Theory 9(1) (2015), 87—98. MSC2010: 58J47, 32A25, 45Q05, 46E22, 47A70, 47B32.
- Solvability
of singular integral equations with rotations and degenerate kernels in
the vanishing coefficient case (with E.M. Rojas, S. Saitoh,
N.M. Tuan and P.D. Tuan), Analysis and Applications 13(1) (2015), 1—21. DOI:
10.1142/S0219530514500468
- A heat
conduction problem of 2D unbounded composites with imperfect contact
conditions (with D.
Kapanadze and E. Pesetskaya), ZAMM -
Journal of Applied Mathematics and Mechanics / Zeitschrift für
Angewandte Mathematik und Mechanik, 95 (9) (2015), 952—965. MSC2010: 30E25, 35B27,
74Q05.
- Crack
impedance-Dirichlet boundary value problems of diffraction in a
half-plane (with D. Kapanadze), MESA 6(3) (2015), 551—566. MSC2010: 35J05; 35B30;
35C15; 35J25; 35P25; 47A20; 47A53; 47A68; 47B35; 47G30; 78A45.
- Reproducing
kernels and discretization (with H. Fujiwara, M.M.
Rodrigues, S. Saitoh, V.K. Tuan), in: V. Mityushev,
M.V. Ruzhansky (eds.), Current
Trends in Analysis and Its Applications, 553—559,
Springer/Birkhäuser, Basel, 2015. MSC2010: 30C40, 44A05, 44A15, 35K05.
- On integral
operators generated by the Fourier transform and a reflection (with R.C.
Guerra and N.M. Tuan), Memoirs on Differential Equations and Mathematical Physics 66 (2015), 7—31. MSC2010: 42B10; 43A3; 44A20; 47A05.
- Effective
conductivity of a composite material with stiff imperfect contact
conditions (with D. Kapanadze and E. Pesetskaya), Mathematical Methods in Applied Sciences 38(18) (2015), 4638—4649. MSC2010: 30D05, 30E25,
35B27, 74Q05.
- L.P.
Castro, E. Pesetskaya: Properties
of a composite material with mixed imperfect contact conditions (http://hdl.handle.net/10773/15634 and https://sweet.ua.pt/castro/p/2016/CaPe2016MMA.pdf), Mathematical Modelling and Analysis, 21(3), 2016, 283-303.
- L.P.
Castro, S. Saitoh, A. Yamada: Solutions
of Tikhonov functional equations and applications to multiplication
operators on Szegö spaces (http://hdl.handle.net/10773/16216 and http://link.springer.com/article/10.1007/s11785-016-0545-4), Complex Analysis and Operator Theory, 10(8), 2016, 1705-1723.
- L.P.
Castro, A.S. Silva: On the
kernels of Wiener-Hopf-Hankel operators on variable exponent Lebesgue
spaces (http://hdl.handle.net/10773/15190 and https://sweet.ua.pt/castro/p/2016/2016CaSi.pdf), Math. Eng. Sci. Aerosp. MESA, 7(2), 2016, 375-386.
- L.P.
Castro, A.S. Silva: Invertibility
characterization of Wiener-Hopf plus Hankel operators on variable
exponent Lebesgue spaces via even asymmetric factorization (http://hdl.handle.net/10773/16229 and http://dx.doi.org/10.1515/gmj-2016-0048), Georgian Mathematical Journal, 23(4), 2016, 477-488.
- P.K.
Anh, L.P. Castro, P.T. Thao, N.M. Tuan: Inequalities and consequences of new convolutions for the
fractional Fourier transform with Hermite weights (http://hdl.handle.net/10773/16734 and http://dx.doi.org/10.1063/1.4972598), American Institute of Physics, AIP Proceedings, 1798(1),
020006, 10pp., NY, 2017.
- L.P.
Castro, A.M. Simões: Hyers-Ulam
and Hyers-Ulam-Rassias stability of a class of integral equations on
finite intervals (http://hdl.handle.net/10773/18069), Proceedings of the 17th
International Conference on Computational and Mathematical Methods in
Science and Engineering, J. Vigo-Aguiar et al, 507-515, Spain, 2017.
- L.P.
Castro, R.C. Guerra, N.M. Tuan: Heisenberg
uncertainty principles for an oscillatory integral operator (http://hdl.handle.net/10773/16729 and http://dx.doi.org/10.1063/1.4972629), American Institute of Physics, AIP Proceedings, 1798(1),
020037, 10pp., NY, 2017.
- L.P.
Castro, A.S. Silva: Odd
asymmetric factorization of Wiener-Hopf plus Hankel operators on
variable exponent Lebesgue spaces (http://hdl.handle.net/10773/16735 and http://dx.doi.org/10.1063/1.4972630), American Institute of Physics, AIP Proceedings, 1798(1),
020038, 10pp., NY, 2017.
- L.P.
Castro, R.C. Guerra, N.M. Tuan: On
a class of integral equations involving kernels of cosine and sine type
(http://hdl.handle.net/10773/18542, http://link.springer.com/chapter/10.1007%2F978-3-319-59384-5_5 and https://sweet.ua.pt/castro/p/2017/2017PostPrint_CaGuTu.pdf), C. Constanda et al. (Eds.), Integral Methods in Science and
Engineering, 47-57, Birkhäuser, Springer, Basel, 2017.
- L.P.
Castro, A.M. Simões: Hyers-Ulam
and Hyers-Ulam-Rassias stability of a class of Hammerstein integral
equations (http://hdl.handle.net/10773/16736 and http://dx.doi.org/10.1063/1.4972628), American Institute of Physics, AIP Proceedings, 1798(1),
020036, 10pp., NY, 2017.
- L.P. Castro,
F.-O. Speck: Convolution type
operators with symmetry in Bessel potential spaces (http://link.springer.com/chapter/10.1007/978-3-319-47079-5_2 and https://sweet.ua.pt/castro/p/2017/2017_CS_OTAApostprint.pdf),
V. Mazya, D. Natroshvili, E. Shargorodsky, W. L. Wendland (Eds.), Recent
Trends in Operator Theory and Partial Differential Equations - The Roland
Duduchava Anniversary Volume, 21-49, Operator Theory: Advances and
Applications 158, Birkhäuser, Basel, 2017.
- P.K.
Anh, L.P. Castro, P.T. Thao, N.M. Tuan: Two new convolutions for the fractional Fourier transform (http://hdl.handle.net/10773/16666, http://link.springer.com/article/10.1007/s11277-016-3567-3 and https://sweet.ua.pt/castro/p/2017/2017PostPrintACTT.pdf), Wireless Personal Communications, 92(2), 2017, 623-637.
- L.P.
Castro, A.M. Simões: Different
types of Hyers-Ulam-Rassias stabilities for a class of
integro-differential equations (http://hdl.handle.net/10773/21063 and http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/filomat_pocetna.php), Filomat, 31(17),
2017, 5379-5390.
- L.P.
Castro, L.T. Minh, N.M. Tuan: New
convolutions for quadratic-phase Fourier integral operators and their
applications (http://hdl.handle.net/10773/21367, http://rdcu.be/DWRU and https://doi.org/10.1007/s00009-017-1063-y), Mediterranean Journal of Mathematics, 15 (13), 2018, 1-17.
- L.P.
Castro, E. Pesetskaya: A composite
material with inextensible-membrane-type interface (https://doi.org/10.1177/1081286517746717) Online First Published: January 15, 2018, Mathematics and
Mechanics of Solids, 12 pp.
- L.P.
Castro, A.M. Simões: Hyers-Ulam-Rassias
stability of nonlinear integral equations through the Bielecki metric,
Mathematical Methods in the Applied Sciences, to appear, 17 pp.
Book (edition):
Last Update: 2018
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