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

Yıl 2019, Cilt: 48 Sayı: 3, 669 - 681, 15.06.2019

Nasser Al-salti Mokhtar Kirane Berikbol T. Torebek

Öz

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.

Anahtar Kelimeler

Inverse problems, heat equation, involution perturbation

Kaynakça

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