On the Boundedness of Solution of the Parabolic Differential Equation with Time Involution

Volume 22 , Issue 2 , December 2020 , Pages 339-344

Authors

Allaberen Ashyralyev 1 ; Amer Ahmed 1

1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey.

DOI logo 10.17656/jzs.10833

Keywords

Abstract

In the present paper, the initial value problem for the parabolic type involutory partial differential equation is investigated. Applying Green’s function of space operator generated by the differential problem, we get formula for solution of this problem. The theorem on the existence and uniqueness of bounded solution of the nonlinear problem with involution is established.

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  • Published at20 December 2020

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