IJPAM: Volume 116, No. 3 (2017)

Title

ON A NONLOCAL INVERSE PROBLEM WITH
THE INTEGRAL OVERDETERMINATION CONDITION
FOR A PARABOLIC EQUATION OF SECOND ORDER

Authors

E.I. Azizbayov$^1$, Y.T. Mehraliyev$^2$
$^1$Department of Computational Mathematics
Baku State University
Z. Khalilov Str. 23, Baku, AZ1148, AZERBAIJAN
$^2$Department of Differential and Integral Equations
Baku State University
Z. Khalilov Str. 23, Baku, AZ1148, AZERBAIJAN

Abstract

In this paper, the inverse boundary value problem for the determination of the coefficient of parabolic equation with nonlocal boundary and integral overdetermination condition is investigated. Moreover, in the present work a time-nonlocal boundary condition is considered. The existence and uniqueness theorem for a classical solution is proved. The proof is based on the contraction mapping principle and Fourier method.

History

Received: 2017-04-17
Revised: 2017-06-30
Published: October 25, 2017

AMS Classification, Key Words

AMS Subject Classification: 35A02, 35A09, 35R30, 35K10
Key Words and Phrases: inverse value problem, parabolic equation of second order, nonlocal boundary conditions, integral overdetermination condition, classical solution

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How to Cite?

DOI: 10.12732/ijpam.v116i3.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 3
Pages: 601 - 616


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