二阶p（t）-Laplacian微分系统的周期解

王奇, 陆地成, 马琪, 戴进

doi:10.13371/j.cnki.chin.q.j.m.2015.02.013

数学季刊 >

2015 , Vol. 30 >Issue 2: 253 - 266

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.013

二阶p（t）-Laplacian微分系统的周期解

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School of Mathematical Sciences, Anhui University

WANG Qi(1974-), male, native of Lingbi, Anhui, an associate professor of Anhui University, Ph.D., engages in functional differential equations and biomathematics.

收稿日期: 2013-08-01

网络出版日期: 2020-11-23

基金资助

Supported by the Natural Science Foundation of Anhui Province(1408085MA02,1208085MA13,1308085MA01,1308085QA15)； Supported by the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028)； Supported by the National Natural Science Foundation of China(11271371,11301004)； Supported by the Research Fund for the Doctoral Program of Higher Education(20113401110001)； Supported by 211 Project of Anhui University（02303129,02303303-33030011,02303902-39020011,KYXL2012004,XJYJXKC04,yfc100012）；

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Periodic Solutions for Some Second-order Differential System with p(t)-Laplacian

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School of Mathematical Sciences, Anhui University

WANG Qi(1974-), male, native of Lingbi, Anhui, an associate professor of Anhui University, Ph.D., engages in functional differential equations and biomathematics.

Received date: 2013-08-01

Online published: 2020-11-23

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摘要

In this article, we investigate the existence of periodic solutions for a class of nonautonomous second-order differential systems with p（t）-Laplacian. Some multiplicity results are obtained by using critical point theory, which extend some known results.

关键词： differential systems with p(t)-Laplacian; periodic solutions; critical point theory

本文引用格式

王奇, 陆地成, 马琪, 戴进 . 二阶p（t）-Laplacian微分系统的周期解[J]. 数学季刊, 2015 , 30(2) : 253 -266 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.013

Abstract

Key words： differential systems with p(t)-Laplacian; periodic solutions; critical point theory

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