Stability of the time-dependent identification problem for delay hyperbolic equations
Гиперболалық кешiгу теңдеулерi үшiн стационарлы емес сәйкестендiру есебiнiң тұрақтылығы
Устойчивость нестационарной задачи идентификации для гиперболических уравнений с запаздыванием
Ashyralyev A. Haso B.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#107Issue 325 - 34 pp.
Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors. Moreover, the delay appears in complicated systems with logical and computing devices, where certain time for information processing is needed. In the present paper, the time-dependent identification problem for delay hyperbolic equation is investigated. The theorems on the stability estimates for the solution of the time-dependent identification problem for the one dimensional delay hyperbolic differential equation are established. The proofs of these theorems are based on the Dalamberts formula for the hyperbolic differential equation and integral inequality.
Hilbert space , hyperbolic equation , source identification , stability , time delay
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Bahcesehir University, Istanbul, Turkey
Peoples Friendship University of Russia, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Near East University, Nicosia, Turkey
Department of Mathematics, High School, Duhok, Iraq
Bahcesehir University
Peoples Friendship University of Russia
Institute of Mathematics and Mathematical Modeling
Near East University
Department of Mathematics
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