A NOTE ON THE TIME IDENTIFICATION NONLOCAL PROBLEM

This paper studies the time identification hyperbolic problems (IHPs) with periodic nonlocal condi-tions. Applying a new version of a operator approach, we establish the well-posedness of the IHP. A new absolute stable difference scheme for the approximate solution of this IHP is constructed. The well-posedness of this difference scheme is proved. Moreover, a numerical test is done. © 2022, Jomard Publishing. All rights reserved.

Authors
Ashyralyev A. , Emharab F.
Journal
Advanced Mathematical Models and Applications
Publisher
Jomard Publishing
Number of issue
2
Language
English
Pages
105-120
Status
Published
Link
External link
Volume
7
Year
2022
Organizations
  • 1 Department of Mathematics, Bahcesehir University, Istanbul, Turkey
  • 2 Peoples’ Friendship, University of Russia (RUDN), Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Omar Al-Mukhtar University, El-Beida, Libya
Keywords
absolute stable difference scheme; Time source identification hyperbolic problem; well-posedness
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