Identification Problem for Telegraph-Parabolic Equations

被引：6

作者：

Ashyralyev, A. ^{[1
,2
,3
]}

Ashyraliyev, M. ^{[4
]}

Ashyralyyeva, M. A. ^{[5
]}

机构：

[1] Near East Univ, TR-99138 Nicosia, Trnc, Turkey

[2] Peoples Friendship Univ Russia RUDN Univ, Moscow 117198, Russia

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Bahcesehir Univ, TR-34353 Istanbul, Turkey

[5] Turkmen State Univ, Ashkhabad 744000, Turkmenistan

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2020年 / 60卷 / 08期

关键词：

source identification problem; telegraph-parabolic equation; stability; Hilbert space; RIGHT-HAND SIDE; INVERSE PROBLEM; PARAMETER; UNIQUENESS; EXISTENCE; STABILITY;

D O I：

10.1134/S0965542520080035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An identification problem for an equation of mixed telegraph-parabolic type with an unknown parameter depending on spatial variables is considered. The unique solvability of this problem is proved, and stability inequalities for its solution are established. As applications, stability estimates are obtained for the solutions of four identification problems for telegraph-parabolic equations with an unknown source depending on spatial variables.

引用

页码：1294 / 1305

页数：12

共 41 条

[1]

[Anonymous], 1997, TAIWANESE J MATH, DOI DOI 10.11650/twjm/1500406127

[2] Stability of difference schemes for hyperbolic-parabolic equations [J].