Boundedness of solutions to a second-order periodic system with p-Laplacian and unbounded perturbation terms

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-08-19 DOI:10.1186/s13661-024-01911-w

Xiumei Xing, Haiyan Wang, Shaoyong Lai

引用次数: 0

Abstract

The second-order periodic system with p-Laplacian and unbounded time-dependent perturbation terms is investigated. Using the principle integral method, it is shown that under certain assumptions on the unbounded and periodic terms, all solutions to the equation possess boundedness.

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具有 p-拉普拉奇和无约束扰动项的二阶周期系统解的有界性

研究了具有 p-拉普拉奇和无约束时变扰动项的二阶周期系统。利用原理积分法证明，在对无约束项和周期项做出一定假设的情况下，方程的所有解都具有有界性。

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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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.