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非线性分数阶微分方程边值问题多个正解的存在性

On the existence of multiple positive solutions to boundary value problems of nonlinear fractional differential equations

中文摘要英文摘要

在本文中,我们研究非线性分数阶微分方程多个正解的存在性。我们使用的工具是格林函数的性质,上下解和不动点定理,得到分数阶微分方程边值问题多个正解的存在的结论。

In this paper, we study the existence of multiple positive solutions for the nonlinear fractional differential equation boundary value problem. By the properties of the Green function, the lower and upper solution method and fixed point theorem, some new existence criteria for fractional di_erential equation boundary value problem are established.

徐瑰瑰、王利波

数学

常微分方程边值问题格林函数正解分数阶微分

ODEBoundary value problemsGreen functionPositive solutionFractional differerential equation

徐瑰瑰,王利波.非线性分数阶微分方程边值问题多个正解的存在性[EB/OL].(2013-07-16)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201307-236.点此复制

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