Existence and Uniqueness Results for an Inverse Problem for a Semilinear Equation with Final Overdetermination

Sazaklioglu A. U., Erdogan A. S., Ashyralyev A.

FILOMAT, vol.32, no.3, pp.847-858, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1803847s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.847-858
  • Istanbul University Affiliated: No

Abstract

In the present paper, unique solvability of a source identification inverse problem for a semilinear equation with a final overdetermination in a Banach space is investigated. Moreover, the first order of accuracy Rothe difference scheme is presented for numerically solving this problem. The existence and uniqueness result for this difference scheme is given. The efficiency of the proposed method is evaluated by means of computational experiments.