分数阶Logistic方程正解的稳定性

Pub Date : 2019-04-01 DOI:10.1619/FESI.62.61

G. Dwivedi, J. Tyagi, R. B. Verma

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引用次数: 3

摘要

．本文证明了一类具有光滑边界的开有界子集上分数阶logistic方程经典解的存在性。利用带变分参数的次解和超解的方法，建立了一个唯一正解的存在性。建立了正解的稳定性和非简并性。

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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Stability of Positive Solution to Fractional Logistic Equations

. In this paper, we show the existence of a classical solution to a class of fractional logistic equations in an open bounded subset with smooth boundary. We use the method of sub- and super-solutions with variational arguments to establish the existence of a unique positive solution. We also establish the stability and nondegeneracy of the positive solution.

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