利用Leray-Schauder拓扑度求解具有周期初始条件的线性扩散抛物方程

Q4 Mathematics International Journal of Nonlinear Analysis and Applications Pub Date : 2022-01-01 DOI:10.22075/IJNAA.2022.5777

Raad A. Hameed, Faez N. Ghaffoori, H. Mustafa, Wafaa M. Taha, Maan A. Rasheed

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摘要

本文给出了具有Diriclet条件的线性扩散抛物方程的时间周期解。基于拓扑度定理，我们证明了系统的一个时间周期解，当解的定义域足够小时，我们找到了不动点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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International Journal of Nonlinear Analysis and Applications MATHEMATICS-

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160