非线性Legendre边值问题解的存在性

IF 0.7 Q3 MATHEMATICS, APPLIED

Differential Equations & Applications Pub Date : 2019-02-21 DOI:10.7153/dea-2019-11-24

B. Freedman, Jesús F. Rodríguez

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引用次数: 1

摘要

在本文中，我们考虑了一般边界条件下的非线性扰动勒让德微分方程。对于这样的问题，我们建立了解存在的充分条件，在某些情况下，我们根据参数提供了解的定性描述。所给出的结果取决于非线性的大小和极限行为。

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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Existence of solutions to nonlinear Legendre boundary value problems

In this paper, we consider nonlinearly perturbed Legendre differential equations subject to the usual boundary conditions. For such problems we establish sufficient conditions for the existence of solutions and in some cases we provide a qualitative description of solutions depending on a parameter. The results presented depend on the size and limiting behavior of the nonlinearities.

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来源期刊

Differential Equations & Applications MATHEMATICS, APPLIED-

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