大非线性Sturm-Liouville问题解的存在性

IF 0.7 Q3 MATHEMATICS, APPLIED

Differential Equations & Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-11

B. Freedman, Jesús F. Rodríguez

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引用次数: 1

摘要

本文给出了具有无界非线性的Sturm-Liouville问题解的存在性的一些结果。我们同时考虑正则问题和奇异问题。我们的主要结果依赖于与拓扑度理论结合使用的李雅普诺夫-施密特的一种变体。数学学科分类(2010):34A34, 34B15, 47H11。

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Existence of solutions to nonlinear Sturm-Liouville problems with large nonlinearities

In this paper, we present results which allow us to establish the existence of solutions to nonlinear Sturm-Liouville problems with unbounded nonlinearities. We consider both regular and singular problems. Our main results rely on a variant of the Lyapunov-Schmidt used in conjunction with topological degree theory. Mathematics subject classification (2010): 34A34, 34B15, 47H11.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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