lisamadard型$\ φ $-拉普拉斯方程周期解的存在性

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2023-09-23 DOI:10.12775/tmna.2022.067

Congmin Yang, Zaihong Wang

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引用次数: 0

摘要

本文研究了一类lisamadard型$\phi$ - laplace方程$$ (\phi(x'))'+f(x)x'+g(x)=p(t). $$周期解的存在性，证明了一个延拓引理，并利用它证明了当$g$或$G$ ($g$的原语)满足某些单侧或双侧增长条件，$F$ ($f$的原语)满足次线性条件时，上述方程周期解的存在性。

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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On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation

In this paper, we study the existence of periodic solutions for a Liénard type $\phi$-Laplacian equation $$ (\phi(x'))'+f(x)x'+g(x)=p(t). $$ We prove a continuation lemma and use it to prove the existence of periodic solutions for above equation when $g$ or $G$ (the primitive of $g$) satisfies some one-sided or bilateral growth conditions and $F$ (the primitive of $f$) satisfies sublinear condition.

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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.