On a class of inverse problems for a heat equation with involution perturbation

Nasser Al-Salti*, Mokhtar Kirane, Berikbol T. Torebek

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions. Proved theorems on existence and uniqueness of solutions to these problems are presented. Solutions are obtained in the form of series expansion using a set of appropriate orthogonal basis for each problem. Convergence of the obtained solutions is also discussed.

Original languageEnglish
Pages (from-to)669-681
Number of pages13
JournalHacettepe Journal of Mathematics and Statistics
Volume48
Issue number3
DOIs
Publication statusPublished - Jan 1 2019

Keywords

  • Heat equation
  • Inverse problems
  • Involution perturbation

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Geometry and Topology

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