Title of article
Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions
Author/Authors
Hameed, Raad Awad Department of Mathematics - College of Education for Pure Sciences - Tikrit University, Tikrit, Iraq , Ghaffoori, Faez N. Department of Mathematics - College of Basic Education - Mustansiriyah University, Baghdad, Iraq , Mustafa, Hekmat sh. Department of Mathematics - College of Education - Al- Hamdaniya University, Mosul, Iraq , Taha, Wafaa M. Department of Mathematics - College of Sciences - Kirkuk University, Kirkuk, Iraq , Rasheed, Maan A. Department of Mathematics - College of Basic Education - Mustansiriyah University, Baghdad, Iraq
Pages
10
From page
1629
To page
1638
Abstract
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.
Keywords
weakly nonlinear sources , Diriclet boundary conditions , Time-periodic solution , Topological degree theorem
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2712416
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