Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 133، دوره 13، شماره 1، خرداد 2022، صفحه 1629-1635 اصل مقاله (367.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5777 | ||
| نویسندگان | ||
| Raad Awad Hameed* 1؛ Faez N. Ghaffoori2؛ Hekmat sh. Mustafa3؛ Wafaa M. Taha4؛ Maan A. Rasheed2 | ||
| 1Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq | ||
| 2Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq | ||
| 3Department of Mathematics, College of Education, Al- Hamdaniya University, Mosul, Iraq | ||
| 4Department of Mathematics, College of Sciences, Kirkuk University, Kirkuk, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| weakly nonlinear sources؛ Diriclet boundary conditions؛ Time-periodic solution؛ Topological degree theorem | ||
| مراجع | ||
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