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On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions

Differential equations, 2023-03, Vol.59 (3), p.301-311

2023

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Study of a Nonlinear Eigenvalue Problem by the Integral Characteristic Equation Method

Differential equations, 2020-02, Vol.56 (2), p.171-184

Valovik, D. V.

2020

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Integral Characteristic Function of a Nonlinear Sturm–Liouville Problem

Differential equations, 2021-12, Vol.57 (12), p.1555-1564

2021

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Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics

Nonlinearity, 2020-07, Vol.33 (7), p.3470-3499

Valovik, D V

2020

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Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves

Computational mathematics and mathematical physics, 2021, Vol.61 (1), p.103-117

Valovik, D. V.

2021

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Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity

Advances in Mathematical Physics, 2015-01, Vol.2015 (2015), p.1-11

2015

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On spectral properties of the Sturm–Liouville operator with power nonlinearity

Monatshefte für Mathematik, 2019-02, Vol.188 (2), p.369-385

Valovik, D. V.

2019

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Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with an Nonlinear Medium I: TE Waves

Computational mathematics and mathematical physics, 2019-06, Vol.59 (6), p.958-977

Valovik, D. V.

2019

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Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem

Nonlinear analysis: real world applications, 2014-12, Vol.20, p.52-58

Valovik, D.V.

2014

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Maxwell’s Equations in a Plane Waveguide with Nonhomogeneous Nonlinear Permittivity: Analytical and Numerical Approaches

Journal of nonlinear science, 2023-12, Vol.33 (6), Article 105

2023

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On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity

Applied Mathematical Modelling, 2018-01, Vol.53, p.296-309

Valovik, D.V.

2018

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On the integral characteristic function of the Sturm-Liouville problem

Sbornik. Mathematics, 2020-11, Vol.211 (11), p.1539-1550

Valovik, D. V.

2020

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Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with a Nonlinear Medium II: TM Waves

Computational mathematics and mathematical physics, 2020-03, Vol.60 (3), p.427-447

Valovik, D. V.

2020

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Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics

Journal of mathematical sciences (New York, N.Y.), 2022-11, Vol.267 (6), p.677-697

2022

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Linearizable and Nonlinearizable Solutions in the Nonlinear Eigenvalue Problem Arising in the Theory of Electrodynamic Waveguides Filled with a Nonlinear Medium

Journal of mathematical sciences (New York, N.Y.), 2023-10, Vol.275 (5), p.556-571

2023

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On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity

Journal of mathematical physics, 2016-10, Vol.57 (10)

2016

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Nonlinear coupled electromagnetic wave propagation: Saturable nonlinearities

Wave motion, 2016-01, Vol.60, p.166-180

Valovik, D.V.

2016

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On the volume singular integro-differential equation approach for the electromagnetic diffraction problem

Applicable analysis, 2017-01, Vol.96 (2), p.173-189

2017

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On a Nonlinear Eigenvalue Problem Related to the Theory of Propagation of Electromagnetic Waves

Differential equations, 2018-02, Vol.54 (2), p.165-177

Valovik, D. V.

2018

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The spectral properties of some nonlinear operators of Sturm-Liouville type

Sbornik. Mathematics, 2017-09, Vol.208 (9), p.1282-1297

Valovik, D. V.

2017

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Asymptotic Analysis of a Nonlinear Eigenvalue Problem Arising in the Waveguide Theory

Differential equations, 2019-12, Vol.55 (12), p.1554-1569

2019

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Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation

Communications in nonlinear science & numerical simulation, 2019-08, Vol.75, p.76-93

2019

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Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity

Advances in mathematical physics, 2012, Vol.2012 (2012), p.1-21

2012

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On the Existence of an Infinite Number of Eigenvalues in One Nonlinear Problem of Waveguide Theory

Computational mathematics and mathematical physics, 2018-10, Vol.58 (10), p.1600-1609

2018

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Electromagnetic Guided Waves in a Lossless Cubic-Quintic Nonlinear Waveguide

Lobachevskii journal of mathematics, 2018-10, Vol.39 (8), p.1108-1116

2018

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On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions

Study of a Nonlinear Eigenvalue Problem by the Integral Characteristic Equation Method

Integral Characteristic Function of a Nonlinear Sturm–Liouville Problem

Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics

Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves

Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity

On spectral properties of the Sturm–Liouville operator with power nonlinearity

Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with an Nonlinear Medium I: TE Waves

Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem

Maxwell’s Equations in a Plane Waveguide with Nonhomogeneous Nonlinear Permittivity: Analytical and Numerical Approaches

On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity

On the integral characteristic function of the Sturm-Liouville problem

Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with a Nonlinear Medium II: TM Waves

Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics

Linearizable and Nonlinearizable Solutions in the Nonlinear Eigenvalue Problem Arising in the Theory of Electrodynamic Waveguides Filled with a Nonlinear Medium

On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity

Nonlinear coupled electromagnetic wave propagation: Saturable nonlinearities

On the volume singular integro-differential equation approach for the electromagnetic diffraction problem

On a Nonlinear Eigenvalue Problem Related to the Theory of Propagation of Electromagnetic Waves

The spectral properties of some nonlinear operators of Sturm-Liouville type

Asymptotic Analysis of a Nonlinear Eigenvalue Problem Arising in the Waveguide Theory

Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation

Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity

On the Existence of an Infinite Number of Eigenvalues in One Nonlinear Problem of Waveguide Theory

Electromagnetic Guided Waves in a Lossless Cubic-Quintic Nonlinear Waveguide

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