INVERSE PROBLEM OF A HYPERBOLIC EQUATION WITH AN INTEGRAL OVERDETERMINATION CONDITION

被引：0

作者：

Oussaeif, Taki-Eddine ^{[1
]}

Bouziani, Abdelfatah ^{[2
]}

机构：

[1] Larbi Ben Mhidi Univ, Dept Math & Informat, Oum El Bouaghi, Algeria

[2] Univ Larbi Ben Mhidi Oum El Bouaghi, Dept Math & Informat, Oum El Bouaghi, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Inverse problem; hyperbolic equation; integral condition; PARABOLIC EQUATION; HEAT-EQUATION; PARAMETER; COEFFICIENT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：7

共 16 条

[1] Bouziani A., 1997, B CL SCI AC ROY BELG, V8, P53
[2] Cannon J. R., 1992, Meccanica, V27, P85, DOI 10.1007/BF00420586
[3] AN INVERSE PROBLEM OF FINDING A PARAMETER IN A SEMILINEAR HEAT-EQUATION
CANNON, JR
LIN, YP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 145 (02) : 470 - 484
[4] DETERMINATION OF A PARAMETER P(T) IN SOME QUASI-LINEAR PARABOLIC DIFFERENTIAL-EQUATIONS
CANNON, JR
LIN, YP
[J]. INVERSE PROBLEMS, 1988, 4 (01) : 35 - 45
[5] DETERMINATION OF A CONTROL PARAMETER IN A PARABOLIC PARTIAL-DIFFERENTIAL EQUATION
CANNON, JR
LIN, YP
WANG, SM
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1991, 33 : 149 - 163
[6] Simultaneous determination of unknown coefficients in a parabolic equation
Fatullayev, Afet Golayoglu
Gasilov, Nizami
Yusubov, Ismihan
[J]. APPLICABLE ANALYSIS, 2008, 87 (10-11) : 1167 - 1177
[7] Ionkin N.I., 1977, Diff. Uravneniya, V13, P294
[8] An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
Ismailov, Mansur I.
Kanca, Fatma
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (06) : 692 - 702
[9] Ivanchov M. I., 2001, Ukr. Math. J., V53, P674, DOI [10.1023/A:1012570031242, DOI 10.1023/A:1012570031242]
[10] Unique Solvability of the Inverse Problem of Determination of the Leading Coefficient in a Parabolic Equation
Kamynin, V. L.
[J]. DIFFERENTIAL EQUATIONS, 2011, 47 (01) : 91 - 101

← 1 2 →