算子和的Leggett-Williams不动点定理类型及其在偏微分方程中的应用

Differential Equations and Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-18

S. Georgiev, K. Mebarki

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引用次数: 1

摘要

．本文给出了由膨胀算子扰动的k集收缩的Leggett-Williams不动点定理的一个推广。应用该方法证明了一类二维非线性波动方程的初值问题(简称ivp)非平凡正解的存在性。

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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Leggett-Williams fixed point theorem type for sums of operators and application in PDEs

. In this paper we present an extension of the original version of Leggett-Williams ﬁ xed point theorem for a k -set contraction perturbed by an expansive operator. Our approach is applied to prove the existence of non trivial positive solutions for initial value problems (IVPs for short) covering a class two-dimensional nonlinear wave equations.

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Differential Equations and Applications

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