GLOBAL SOLVABILITY OF AN INVERSE PROBLEM FOR A MOORE-GIBSON-THOMPSON EQUATION WITH PERIODIC BOUNDARY AND INTEGRAL OVERDETERMINATION CONDITIONS

被引：1

作者：

Durdiev, D. K. ^{[1
,2
]}

Boltaev, A. A. ^{[1
,3
]}

机构：

[1] Acad Sci Uzbek, Romanovskii Inst Math, Bukhara Branch, 11 M Ikbal St, Bukhara 200117, Uzbekistan

[2] Bukhara State Univ, 11 Muhammad Ikbal St, Bukhara 200117, Uzbekistan

[3] North Caucasus Ctr Math Res VSC RAS, 1 Williams St, Mikhailovskoye 363110, Russia

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2024年 / 12卷 / 02期

关键词：

Moore-Gibson-Thompson equation; initial-boundary problem; periodic boundary conditions; inverse problem; Fourier spectral method; Banach principle; ONE-DIMENSIONAL KERNEL; MEMORY; IDENTIFICATION;

D O I：

10.32523/2306-6172-2024-12-2-35-49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies the inverse problem of determining the pressure and convolution kernel in an integro-differential Moore-Gibson-Thompson equation with initial, periodic boundary and integral overdetermination conditions on the rectangular domain. By Fourier method this problem is reduced to an equivalent integral equation and on based of Banach's fixed point argument in a suitably chosen function space, the local solvability of the problem is proven. Then, the found solutions are continued throughout the entire domain of definition of the unknowns.

引用

页码：35 / 49

页数：15

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