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 language | English |
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Pages (from-to) | 669-681 |
Number of pages | 13 |
Journal | Hacettepe Journal of Mathematics and Statistics |
Volume | 48 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Heat equation
- Inverse problems
- Involution perturbation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Statistics and Probability
- Geometry and Topology