STABILITY OF THE TIME-DEPENDENT IDENTIFICATION PROBLEM FOR THE DELAY HYPERBOLIC EQUATION


Ashyralyev A. Haso B.
2022Academic Publications Ltd.

International Journal of Applied Mathematics
2022#35Issue 3473 - 494 pp.

In the present paper, a time-dependent source identification problem for a one dimensional delay hyperbolic equation with Dirichlet condition is studied. Operator-functions generated by the positive operator are considered. Theorems on the stability estimates for the solution of this problem are established. The first order of accuracy difference scheme for this source identification problem is presented. Numerical analysis and discussions are presented

Dirichlet condition , Hyperbolic equations , Source identification , Stability , Time delay

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Bahcesehir University, Department of Mathematics, Istanbul, 34353, Turkey
Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya str., Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Near East University, Department of Mathematics, Mersin 10,TRNC, Nicosia, Turkey

Bahcesehir University
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Near East University

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