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Construction of a Generalized Solution of a Mixed Problem for the Telegraph Equation: Sequential and Axiomatic Approaches

Differential equations, 2022-11, Vol.58 (11), p.1468-1481

Lomov, I. S.

2022

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Spectral Properties of a Singular Differential Operator on an Interval with Transmission Conditions

Differential equations, 2023-05, Vol.59 (5), p.591-596

Lomov, I. S.

2023

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Study of the Asymptotic Properties of the Solution to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular Potential

Differential equations, 2024-03, Vol.60 (3), p.265-271

Lomov, I. S.

2024

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Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side

Doklady. Mathematics, 2024, Vol.109 (2), p.121-124

Lomov, I. S.

2024

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Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient

Lobachevskii journal of mathematics, 2023-08, Vol.44 (8), p.3430-3437

Lomov, I. S.

2023

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A New Way of Constructing a Generalized Solution to a Mixed Problem for a Telegraph Equation

Moscow University computational mathematics and cybernetics, 2022, Vol.46 (3), p.140-148

Lomov, I. S.

2022

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Effective Application of the Fourier Technique for Constructing a Solution to a Mixed Problem for a Telegraph Equation

Moscow University computational mathematics and cybernetics, 2021, Vol.45 (4), p.168-173

Lomov, I. S.

2021

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Uniform Convergence of Expansions in Root Functions of a Differential Operator with Integral Boundary Conditions

Differential equations, 2019-04, Vol.55 (4), p.471-482

Lomov, I. S.

2019

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Singularly perturbed and irregularly degenerate elliptic problems: common approaches

Complex variables and elliptic equations, 2019-05, Vol.64 (5), p.792-803

Lomov, I. S.

2019

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Unconditional Basis Property of the System of Root Functions of a Differential Operator with Integral Boundary Conditions

Differential equations, 2019-06, Vol.55 (6), p.787-805

Lomov, I. S.

2019

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Convergence of Eigenfunction Expansions of a Differential Operator with Integral Boundary Conditions

Doklady. Mathematics, 2018-07, Vol.98 (1), p.386-390

Lomov, I. S.

2018

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Estimates of Root Functions of the Adjoint of a Second-Order Differential Operator with Integral Boundary Conditions

Differential equations, 2018-05, Vol.54 (5), p.596-607

Lomov, I. S.

2018

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Integral representations of irregular root functions of loaded second-order differential operators

Differential equations, 2016-12, Vol.52 (12), p.1563-1574

Lomov, I. S.

2016

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Using Poisson Series in the Analytic Theory of Irregularly Degenerate Elliptic Differential Operators

Differential equations, 2021-05, Vol.57 (5), p.636-653

2021

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Loaded differential operators: Convergence of spectral expansions

Differential equations, 2014-08, Vol.50 (8), p.1070-1079

Lomov, I. S.

2014

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Nonsmooth eigenfunctions in problems of mathematical physics

Differential equations, 2011-03, Vol.47 (3), p.355-362

Lomov, I. S.

2011

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Study of spectral properties of a loaded second-order differential operator

Differential equations, 2015-07, Vol.51 (7), p.857-861

2015

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STUDY OF THE ASYMPTOTIC PROPERTIES OF THE SOLUTION TO A PROBLEM WITH A PARAMETER FOR THE STURM–LIOUVILLE OPERATOR WITH A SINGULAR POTENTIAL

Дифференциальные уравнения, 2024-12, Vol.60 (3)

Lomov, I. S

2024

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Nonclassical statements of problems for degenerate partial differential equations

Differential equations, 2012-05, Vol.48 (5), p.730-736

Lomov, I. S.

2012

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Spektral'nye svoystva odnogo singulyarnogo differentsial'nogo operatora na otrezke s usloviyami sopryazheniya

Дифференциальные уравнения, 2023-05, Vol.59 (5), p.582-587

Lomov, I. S

2023

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Convergence of Biorthogonal Expansions of Functions on an Interval for Higher-Order Differential Operators

Differential equations, 2005-05, Vol.41 (5), p.660-676

Lomov, I S

2005

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Dependence of estimates of the local convergence rate of spectral expansions on the distance from an interior compact set to the boundary

Differential equations, 2010-10, Vol.46 (10), p.1415-1426

Lomov, I. S.

2010

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On the basis property of eigenfunctions of a singular second-order differential operator

Differential equations, 2012-08, Vol.48 (8), p.1174-1176

2012

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Estimates of the local convergence rate of spectral expansions for even-order differential operators

Differential equations, 2013-05, Vol.49 (5), p.529-535

2013

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Uniform Convergence of Biorthogonal Series for the Schrödinger Operator with Multipoint Boundary Conditions

Differential equations, 2002-07, Vol.38 (7), p.941

Lomov, I S

2002

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Construction of a Generalized Solution of a Mixed Problem for the Telegraph Equation: Sequential and Axiomatic Approaches

Spectral Properties of a Singular Differential Operator on an Interval with Transmission Conditions

Study of the Asymptotic Properties of the Solution to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular Potential

Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side

Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient

A New Way of Constructing a Generalized Solution to a Mixed Problem for a Telegraph Equation

Effective Application of the Fourier Technique for Constructing a Solution to a Mixed Problem for a Telegraph Equation

Uniform Convergence of Expansions in Root Functions of a Differential Operator with Integral Boundary Conditions

Singularly perturbed and irregularly degenerate elliptic problems: common approaches

Unconditional Basis Property of the System of Root Functions of a Differential Operator with Integral Boundary Conditions

Convergence of Eigenfunction Expansions of a Differential Operator with Integral Boundary Conditions

Estimates of Root Functions of the Adjoint of a Second-Order Differential Operator with Integral Boundary Conditions

Integral representations of irregular root functions of loaded second-order differential operators

Using Poisson Series in the Analytic Theory of Irregularly Degenerate Elliptic Differential Operators

Loaded differential operators: Convergence of spectral expansions

Nonsmooth eigenfunctions in problems of mathematical physics

Study of spectral properties of a loaded second-order differential operator

STUDY OF THE ASYMPTOTIC PROPERTIES OF THE SOLUTION TO A PROBLEM WITH A PARAMETER FOR THE STURM–LIOUVILLE OPERATOR WITH A SINGULAR POTENTIAL

Nonclassical statements of problems for degenerate partial differential equations

Spektral'nye svoystva odnogo singulyarnogo differentsial'nogo operatora na otrezke s usloviyami sopryazheniya

Convergence of Biorthogonal Expansions of Functions on an Interval for Higher-Order Differential Operators

Dependence of estimates of the local convergence rate of spectral expansions on the distance from an interior compact set to the boundary

On the basis property of eigenfunctions of a singular second-order differential operator

Estimates of the local convergence rate of spectral expansions for even-order differential operators

Uniform Convergence of Biorthogonal Series for the Schrödinger Operator with Multipoint Boundary Conditions

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