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

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 © 2022. Academic Publications

Authors
Ashyralyev A. , Haso B.
Publisher
Academic Publications Ltd.
Number of issue
3
Language
English
Pages
473-494
Status
Published
Volume
35
Year
2022
Organizations
  • 1 Bahcesehir University, Department of Mathematics, Istanbul, 34353, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya str., Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Near East University, Department of Mathematics, Mersin 10,TRNC, Nicosia, Turkey
Keywords
Dirichlet condition; Hyperbolic equations; Source identification; Stability; Time delay
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