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

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

Published 2016-12-05Version 1

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.