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Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form

Lobachevskii journal of mathematics, 2023-08, Vol.44 (8), p.3367-3371

Khromov, A. P.

2023

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Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints

Journal of mathematical sciences (New York, N.Y.), 2022-11, Vol.267 (6), p.787-802

2022

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Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential

Differential equations, 2019-05, Vol.55 (5), p.703-717

Khromov, A. P.

2019

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Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity

Computational mathematics and mathematical physics, 2018-09, Vol.58 (9), p.1531-1543

Khromov, A. P.

2018

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On the convergence of the formal Fourier solution of the wave equation with a summable potential

Computational mathematics and mathematical physics, 2016-10, Vol.56 (10), p.1778-1792

Khromov, A. P.

2016

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Behavior of the formal solution to a mixed problem for the wave equation

Computational mathematics and mathematical physics, 2016-02, Vol.56 (2), p.243-255

Khromov, A. P.

2016

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Mixed problem for the wave equation with a summable potential and nonzero initial velocity

Doklady. Mathematics, 2017-05, Vol.95 (3), p.273-275

Khromov, A. P.

2017

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Dirac Operator with a Potential of Special Form and with the Periodic Boundary Conditions

Differential equations, 2018-05, Vol.54 (5), p.586-595

2018

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Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

Computational mathematics and mathematical physics, 2019-02, Vol.59 (2), p.275-289

2019

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Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

Doklady. Mathematics, 2019, Vol.99 (1), p.11-13

2019

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A mixed problem for an inhomogeneous wave equation with a summable potential

Computational mathematics and mathematical physics, 2017-10, Vol.57 (10), p.1666-1681

2017

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Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders

Differential equations, 2017-04, Vol.53 (4), p.497-508

2017

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The resolvent approach for the wave equation

Computational mathematics and mathematical physics, 2015-02, Vol.55 (2), p.227-239

2015

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A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case

Computational mathematics and mathematical physics, 2015-07, Vol.55 (7), p.1138-1149

2015

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Resolvent approach to the fourier method in a mixed problem for the wave equation

Computational mathematics and mathematical physics, 2015-04, Vol.55 (4), p.618-627

2015

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Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution

Computational mathematics and mathematical physics, 2011-12, Vol.51 (12), p.2102-2114

2011

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Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval

Computational mathematics and mathematical physics, 2014-09, Vol.54 (9), p.1389-1394

2014

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A family of operators with discontinuous ranges and approximation and restoration of continuous functions

Computational mathematics and mathematical physics, 2013-10, Vol.53 (10), p.1421-1427

2013

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Integral operators with kernels that are discontinuous on broken lines

Sbornik. Mathematics, 2006-12, Vol.197 (11), p.1669-1696

Khromov, A P

2006

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On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals

Computational mathematics and mathematical physics, 2012-08, Vol.52 (8), p.1079-1088

2012

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Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals

Izvestiya. Mathematics, 2012-01, Vol.76 (6), p.1175-1189

2012

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Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration

Izvestiya. Mathematics, 2005-08, Vol.69 (4), p.703-717, Article 703

2005

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On equiconvergence of spectral expansions of integral operators

Journal of mathematical sciences (New York, N.Y.), 2007-07, Vol.144 (4), p.4277-4283

Khromov, A. P.

2007

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On an analog of the Jordan-Dirichlet theorem for eigenfunction expansions of one differential-difference operator with an integral boundary condition

Journal of mathematical sciences (New York, N.Y.), 2007-07, Vol.144 (4), p.4267-4276

Khromov, A. P.

2007

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Riesz bases formed by root functions of a functional-differential equation with a reflection operator

Differential equations, 2008-02, Vol.44 (2), p.203-212

2008

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Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form

Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints

Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential

Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity

On the convergence of the formal Fourier solution of the wave equation with a summable potential

Behavior of the formal solution to a mixed problem for the wave equation

Mixed problem for the wave equation with a summable potential and nonzero initial velocity

Dirac Operator with a Potential of Special Form and with the Periodic Boundary Conditions

Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

A mixed problem for an inhomogeneous wave equation with a summable potential

Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders

The resolvent approach for the wave equation

A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case

Resolvent approach to the fourier method in a mixed problem for the wave equation

Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution

Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval

A family of operators with discontinuous ranges and approximation and restoration of continuous functions

Integral operators with kernels that are discontinuous on broken lines

On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals

Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals

Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration

On equiconvergence of spectral expansions of integral operators

On an analog of the Jordan-Dirichlet theorem for eigenfunction expansions of one differential-difference operator with an integral boundary condition

Riesz bases formed by root functions of a functional-differential equation with a reflection operator

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