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arXiv · 1612.01419

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

Nasser Al-Salti·Mokhtar Kirane·Berikbol T. Torebek
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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.

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Nasser Al-Salti, Mokhtar Kirane, Berikbol T. Torebek. 2016-12-05. On a class of inverse problems for a heat equation with involution perturbation. https://arxiv.org/abs/1612.01419

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