Results 1 to 10 of about 109 (94)

On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this paper we study an inverse problem with an integral overdetermination condition for a hyperbolic equation with an unknown coefficient in equation.
Natalya V Beilina
doaj   +5 more sources

A time-nonlocal inverse problem for a hyperbolic equation with an integral overdetermination condition

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
This article is concerned with the study of the unique solvability of a time-nonlocal inverse boundary value problem for second-order hyperbolic equation with an integral overdetermination condition.
Yashar Mehraliyev, Elvin Azizbayov
doaj   +4 more sources

Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
doaj   +2 more sources

Nonlocal inverse boundary-value problem for a 2D parabolic equation with integral overdetermination condition

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
This article studies a nonlocal inverse boundary-value problem for a two-dimensional second-order parabolic equation in a rectangular domain. The purpose of the article is to determine the unknown coefficient and the solution of the considered problem ...
E.I. Azizbayov, Y.T. Mehraliyev
doaj   +3 more sources

Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

open access: yesOpen Mathematics, 2022
In this work, the solvability for an inverse problem of a nonlinear parabolic equation with nonlocal integral overdetermination supplementary condition is examined.
Huntul Mousa J.   +3 more
doaj   +2 more sources

Inverse problem of a hyperbolic equation with an integral overdetermination condition

open access: yesElectronic Journal of Differential Equations, 2016
In this article we study the inverse problem of a hyperbolic equation with an integral overdetermination condition. The existence, uniqueness and continuous dependence of the solution of the solution upon the data are established.
Taki-Eddine Oussaeif   +1 more
doaj   +2 more sources

Inverse source problems for a multidimensional time fractional wave equation with integral overdetermination conditions

open access: yesRendiconti Del Circolo Matematico Di Palermo
In this paper, we consider two linear inverse problems for the time-fractional wave equation, assuming that its right-hand side takes the separable form $f(t)h(x)$, where $t \geq 0$ and $x \in Ω\subset R^N $. The objective is to determine the unknown function $f(t)$ (Inverse Problem 1) and $h(x)$ (Inverse Problem 2), given that the other function is ...
Durdimurod Durdiev, Durdiev D K
exaly   +3 more sources

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

open access: yesJournal 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   +3 more
openaire   +1 more source

Coefficient inverse problem for the strongly degenerate parabolic equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
doaj   +1 more source

Existence and Uniqueness of the Solution for an Inverse Problem of a Fractional Diffusion Equation with Integral Condition

open access: yesJournal of Function Spaces, 2022
The solvability of the fractional partial differential equation with integral overdetermination condition for an inverse problem is investigated in this paper. We analyze the direct problem solution by using the “energy inequality” method.
Taki-Eddine Oussaeif   +7 more
doaj   +1 more source

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