Results 11 to 20 of about 3,469 (168)

AN INVERSE PROBLEM OF RECOVERING THE RIGHT HAND SIDE OF 1D PSEUDOPARABOLIC EQUATION

Вестник КазНУ. Серия математика, механика, информатика, 2021
Inverse problems of finding the right-hand side of a partial differential equations arise when an external source is unknown or impossible to measurement, for example, the source is in a high-temperature environment or underground.
Kh. Kenzhebai
doaj   +1 more source

KERNEL DETERMINATION PROBLEM FOR ONE PARABOLIC EQUATION WITH MEMORY

Ural Mathematical Journal, 2023
This paper studies the inverse problem of determining a multidimensional kernel function of an integral term which depends on the time variable \(t\) and \((n-1)\)-dimensional space variable \(x'= \left(x_1,\ldots, x_ {n-1}\right)\) in the \(n ...
Durdimurod K. Durdiev, Javlon Z. Nuriddinov   +1 more
doaj   +1 more source

SOLVABILITY OF THE INVERSE PROBLEM FOR THE PSEUDOHYPERBOLIC EQUATION

Вестник КазНУ. Серия математика, механика, информатика, 2022
This paper investigates the solvability of the inverse problem of finding a solution and an unknown coefficient in a pseudohyperbolic equation known as the Klein-Gordon equation.
S. Aitzhanov, J. Ferreira, K. Zhalgassova   +2 more
doaj   +1 more source

Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach

Alexandria Engineering Journal, 2020
In the present work, an inverse problem for the heat equation in two dimensional space with Robin boundary condition that involving a new fractional derivative, namely, Atangana-Baleanu approach with non-local and non-singular kernel is considered.
Smina Djennadi, Nabil Shawagfeh, Omar Abu Arqub   +2 more
doaj   +1 more source

Long-time Behaviour of Solution to Inverse Problem for Higher-order Parabolic Equation

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
We consider an inverse problem for the fourth-orderparabolic equation. Long time behavior of the solution for the higher-ordernonlinear inverse problem is established. Additional condition is given in theform of integral overdetermination.
Metin Yaman
doaj   +1 more source

SOLVABILITY OF A NONLINEAR INVERSE PROBLEM FOR A PSEUDOPARABOLIC EQUATION WITH P-LAPLACIAN

Вестник КазНУ. Серия математика, механика, информатика, 2021
Inverse problems of determining the right-hand side of a differential equation arise in the mathematical modeling of many physical phenomena, when an external source or some of its parameters acting to the motion of the process are unknown or ...
A. Shakir, A. Kabidoldanova, Kh. Khompysh   +2 more
doaj   +1 more source

Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

AIP Conference Proceedings, 2018
The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established.
Ashyralyyev, Charyyar, Çay, Aysel
openaire   +2 more sources

INVERSE PROBLEMS OF RECOVERING THE BOUNDARY DATA WITH INTEGRAL OVERDETERMINATION CONDITIONS

Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2018
S.G. Pyatkov, M.A. Verzhbitskii Yugra State University, Khanty-Mansyisk, Russian Federation E-mail: s_pyakov@ugrasu.ru. С.Г. Пятков, М.А. Вержбицкий Югорский государственный университет, г. Ханты-Мансийск, Российская Федерация E-mail: s_pyakov@ugrasu.ru In the present article we examine an inverse problem of recovering unknown functions being part of ...
S.G. Pyatkov, M.A. Verzhbitskii
openaire   +3 more sources

ON AN INVERSE PROBLEM WITH AN INTEGRAL OVERDETERMINATION CONDITION FOR THE BURGERS EQUATION

Journal of Mathematics, Mechanics and Computer Science, 2023
In this paper we consider one inverse problem for the Burgers equation with anintegral overdetermination and periodic boundary conditions in a domain that is trapezoid. Using an integral overdetermination, boundary and initial conditions, we reduce the inverse problem to the study of an already direct initial boundary value problemfor the loaded ...
M. Yergaliyev, M. Jenaliyev, A. Romankyzy, A. Zholdasbek   +3 more
openaire   +1 more source

An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle

Mathematical Modelling and Analysis, 2014
In this paper, the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests
Yashar T. Mehraliyev, Fatma Kanca
doaj   +1 more source