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

Document Type : Research Paper


1 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq

2 Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq

3 Department of Mathematics, College of Education, Al- Hamdaniya University, Mosul, Iraq

4 Department of Mathematics, College of Sciences, Kirkuk University, Kirkuk, Iraq


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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Volume 13, Issue 1
March 2022
Pages 1629-1635
  • Receive Date: 16 September 2021
  • Revise Date: 10 October 2021
  • Accept Date: 29 November 2021