Results 71 to 80 of about 1,483,225 (280)

Constructing the fundamental solution to a problem of heat conduction

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article, we discuss auxiliary initial-boundary value problems which will subsequently be used to solve boundary-value problem of heat conduction with axial symmetry in a degenerating domain. One of the problems is posed with homogeneous boundary
М.Т. Kosmakova, A.O. Tanin, Zh.M. Tuleutaeva   +2 more
doaj   +1 more source

Existence of classical solutions for initial boundary value problems for nonlinear dispersive equations of odd-orders [PDF]

, 2022
Svetlin G. Georgiev, Arezkı Kheloufı, Karima Mebarki   +2 more
openalex   +1 more source

Correction to: Initial-boundary value problem for a fractional heat equation on an interval [PDF]

, 2023
Yudier Peña Pérez, J Sánchez Ortíz
openalex   +1 more source

The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach

Mathematics, 2019
In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
doaj   +1 more source

On an initial-boundary value problem for a parabolic pseudodifferential equation

Математичні Студії
The article is aimed at investigation of a third initial-boundary value problem for a parabolic pseudo-differential equation that is related to an isotropic $\alpha$-stable stochastic process in multidimensional Euclidean space $\mathbb{R}^d$.
S. V. Didyk, M. M. Osypchuk
doaj   +1 more source

The first initial boundary-value problem for telegraph equation in bounded domain

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
The first initial boundary-value problem for telegraph equation in bounded domain is considered. The exact solution this problem is obtained. The construction of solution is based on combination prolongation and reflection methods with integral ...
V. A. Ostapenko
doaj   +1 more source

Effect of intrinsic rotations, microstructural expansion and contractions in initial boundary value problem of thermoelastic bodies

, 2014
This study is dedicated to some basic theorems in the thermoelastodynamics of microstretch bodies. Our intention is to show that the presence of the microstretch does not affect the main characteristics of the mixed initial boundary value problem for ...
M. Marin, R. Agarwal, I. Abbas
semanticscholar   +1 more source

Nonlocal initial boundary value problem for the time-fractional diffusion equation

Electronic Journal of Differential Equations, 2017
In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal
Makhmud Sadybekov, Gulaiym Oralsyn
doaj  

Initial-boundary value problem with a nonlocal condition for a viscosity equation

International Journal of Mathematics and Mathematical Sciences, 2002
This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation.
Abdelfatah Bouziani
doaj   +1 more source

Degenerate parabolic initial-boundary value problems

Journal of Differential Equations, 1979
in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h.
openaire   +1 more source