二阶泛函微分方程的无穷多正周期解

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-18 DOI:10.1016/j.aml.2024.109431

Weibing Wang, Shen Luo

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引用次数: 0

摘要

本文研究了一类二阶泛函微分方程的无穷多个正周期解的存在性，这类方程不能直接应用于锥上不动点定理。通过适当的变形，构造了不动点与原方程周期解密切相关的算子，并证明了该问题在适当条件下具有无穷多个正周期解。

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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Infinitely many positive periodic solutions for second order functional differential equations

In this paper, we study the existence of infinitely many positive periodic solutions to a class of second order functional differential equations which cannot be applied directly to the fixed point theorem in cone. With suitable deformations, we construct the operator whose fixed point is closely related to the periodic solution of the original equation and show that the problem has infinitely many positive periodic solutions under appropriate conditions.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.