Inverse problem for a pseudoparabolic equation with integral overdetermination conditions

被引：0

作者：

A. Sh. Lyubanova

机构：

[1] Siberian Federal University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Inverse Problem; Class Versus; Comparison Theorem; Direct Problem; Unique Solvability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider inverse problems of finding an unknown coefficient in the leading term of a linear pseudoparabolic equation of filtration type on the basis of integral data over the entire boundary or its part under the assumption that the unknown coefficient depends on time. We derive conditions for the time-global solvability and uniqueness of the solution of the inverse problem.

引用

页码：502 / 512

页数：10

共 50 条

[41] AN INVERSE PROBLEM OF RECOVERING THE RIGHT HAND SIDE OF 1D PSEUDOPARABOLIC EQUATION [J].

Kenzhebai, Kh .

JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2021, 111 (03) :28-37

[42] Inverse Problems for a Generalized Subdiffusion Equation with Final Overdetermination [J].

Kinash, Nataliia ;

Janno, Jaan .

MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (02) :236-262

[43] AN INVERSE BOUNDARY VALUE PROBLEM FOR THE EQUATION OF FLEXURAL VIBRATIONS OF A BAR WITH AN INTEGRAL CONDITIONS OF THE FIRST KIND [J].

Mehraliyev, Yashar ;

Ramazanova, Aysel ;

Sevdimaliyev, Yusif .

JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 11 (05) :1-12

[44] AN INVERSE SOURCE PROBLEM FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH P-LAPLACIAN DIFFUSION AND DAMPING TERM [J].

Khompysh, Khonatbek ;

Shakir, Aidos Ganizhanuly .

QUAESTIONES MATHEMATICAE, 2023, 46 (09) :1889-1914

[45] Inverse problem for Hill equation with jump conditions [J].

Koyunbakan, Hikmet .

AFRIKA MATEMATIKA, 2022, 33 (02)

[46] An Inverse Problem for the Semilinear Wave Equation with a Nonlinear Integral Operator [J].

V. G. Romanov .

Siberian Mathematical Journal, 2025, 66 (2) :326-344

[47] THE INVERSE PROBLEM IN DESIGN OF A MAGNETIC BRUSH BY INTEGRAL EQUATION METHOD [J].

Cai Xuexiang ;

Weng Xingtai ;

Cao Minfeng(Dept. of Information and Control Engineering) .

JournalofShanghaiJiaotongUniversity, 1996, (02) :72-76+80

[48] Inverse problem for a time-fractional differential equation with a time- and space-integral conditions [J].

Kirane, Mokhtar ;

Lopushansky, Andriy ;

Lopushanska, Halyna .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (15) :16381-16393

[49] ON A NONLINEAR INVERSE BOUNDARY VALUE PROBLEM FOR THE LINEARIZED EQUATION OF MOTION OF A HOMOGENEOUS ELASTIC BEAM WITH PERIODIC AND INTEGRAL CONDITIONS [J].

Mehraliyev, Yashar T. ;

Azizbayov, Elvin I. .

PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2020, :266-268

[50] Inverse problem with a time-integral condition for a fractional diffusion equation [J].

Lopushanska, Halyna ;

Lopushansky, Andriy .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) :3327-3340

← 1 2 3 4 5 →