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

WANG Qi, LU Di-cheng, MA Qi, DAI Jin

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

Chinese Quarterly Journal of Mathematics >

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

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

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

Supported by

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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Abstract

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.

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

Cite this article

WANG Qi, LU Di-cheng, MA Qi, DAI Jin . Periodic Solutions for Some Second-order Differential System with p(t)-Laplacian[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(2) : 253 -266 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.013

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