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Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions
Journal article

Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions

Raad Awad Hameed, Faez N. Ghaffoori, Hekmat Sh Mustafa, Wafaa M. Taha and Maan A. Rasheed
International journal of nonlinear analysis and applications, Vol.13(1), pp.1629-1635
01/01/2022
DOI: https://doi.org/10.22075/ijnaa.2022.5777

Abstract

Mathematics Physical Sciences Science & Technology
Throughout this manuscript, we show time periodic solutions to a linear diffusion parabolic equation with Diriclet condition. Based on the topological degree theorem, we prove a time periodic solutions of the system such that we found the fixed point when the domain of the solution is sufficiently small.

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