数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 253-266.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.013

• • 上一篇    下一篇

二阶p(t)-Laplacian微分系统的周期解

  

  1. School of Mathematical Sciences, Anhui University
  • 收稿日期:2013-08-01 出版日期:2015-06-30 发布日期:2020-11-23
  • 作者简介:WANG Qi(1974-), male, native of Lingbi, Anhui, an associate professor of Anhui University, Ph.D., engages in functional differential equations and biomathematics.
  • 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);

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

  1. School of Mathematical Sciences, Anhui University
  • Received:2013-08-01 Online:2015-06-30 Published:2020-11-23
  • About author:WANG Qi(1974-), male, native of Lingbi, Anhui, an associate professor of Anhui University, Ph.D., engages in functional differential equations and biomathematics.
  • 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);

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

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

中图分类号: