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

Authors : Nasser AL-SALTİ, Mokhtar KİRANE, Berikbol T. TOREBEK

Pages : 669-681

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Publication Date : 2019-06-15

Article Type : Research Paper

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.
Keywords : Inverse problems, heat equation, involution perturbation