Results 1 to 10 of about 22,155 (286)

Some boundary value problems for a micropolar porous elastic body

open access: yesArchives of Mechanics, 2020
The paper reviews the static equilibrium of a micropolar porous elastic material. We assume that the body under consideration is an elastic Cosserat media with voids, however, it can also be considered as an elastic microstretch solid, since the basic ...
R. Janjgava, B. Gulua, S. Tsotniashvili
doaj   +3 more sources

Boundary value problems of integrodifferential equations under boundary conditions taking into account physical nonlinearity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
When solving integrodifferential equations under boundary conditions, taking into account physical nonlinearity, a broad class of boundary-value problems of oscillations arises associated with various boundary conditions at the edges of a flat element ...
A.Zh. Seitmuratov   +3 more
doaj   +4 more sources

A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity

open access: yesInternational Journal of Computational Mathematics, 1999
A boundary element method based on the Cauchy's integral formulae, called the complex variable boundary element method (CVBEM), is proposed for the numerical solution of boundary value problems governing plane thermoelastic deformations of anisotropic ...
W. Ang, D. Clements, T. Cooke
semanticscholar   +2 more sources

On the Combination of the Laplace Transform and Integral Equation Method to Solve the 3D Parabolic Initial Boundary Value Problem

open access: yesAxioms
We consider a two-step numerical approach for solving parabolic initial boundary value problems in 3D simply connected smooth regions. The method uses the Laplace transform in time, reducing the problem to a set of independent stationary boundary value ...
Roman Chapko, Svyatoslav Lavryk
doaj   +2 more sources

On zeros of an entire function coinciding with exponential typequasi-polynomials, associated with a regular third-order differential operator on an interval [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, we consider the question on study of zeros of an entire function of one class, which coincides with quasi-polynomials of exponential type.
N.S. Imanbaev, Ye. Kurmysh
doaj   +2 more sources

The d-bar formalism for the modified Veselov-Novikov equation on the half-plane [PDF]

open access: yesOpuscula Mathematica, 2022
We study the modified Veselov-Novikov equation (mVN) posed on the half-plane via the Fokas method, considered as an extension of the inverse scattering transform for boundary value problems.
Guenbo Hwang, Byungsoo Moon
doaj   +1 more source

Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on the Half-line

open access: yes, 2018
In this article, we use the unified transform method to analyze the initial-boundary value problem for the coupled higher-order nonlinear Schrödinger equations on the half-line.
Beibei Hu   +3 more
semanticscholar   +2 more sources

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

open access: yesMathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

On a Class of Positive Definite Operators and Their Application in Fractional Calculus

open access: yesAxioms, 2022
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
doaj   +1 more source

Hypersingular Integro-Differential Equation Containing Polynomials and Their Derivatives in Coefficients

open access: yesMathematics, 2023
A new linear integro-differential equation is considered on a closed curve located on the complex plane. The integrals in the equation are understood in the sense of a finite part, according to Hadamard.
Andrei P. Shilin
doaj   +1 more source

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