非线性边值问题解的存在性

Differential Equations and Applications Pub Date : 2017-01-01 DOI:10.7153/DEA-09-01

Jesús F. Rodríguez, Adam J. Suarez

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引用次数: 7

摘要

本文给出了一类非线性边值问题解存在的充分条件。我们通过应用一般抽象策略来解决具有线性分量的非线性方程。我们将此应用于一般系统，首先分离一个线性周期系统，然后利用周期解的一般理论找到附加非线性分量的保证解的条件。

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 boundary value problems

In this paper we provide sufficient conditions for the existence of solutions to nonlinear boundary value problems. We do so by applying a general abstract strategy for solving nonlinear equations with a linear component. We apply this to general systems by first isolating a linear periodic system and using the general theory of periodic solutions to find conditions on the additional nonlinear components to guarantee solutions.

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Differential Equations and Applications

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