Existence of periodic solutions for a class of p-Laplacian equations

被引：6
|
作者：
Chang, Xiaojun [1 ,2 ]
Qiao, Yu [3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China
[3] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
基金：
中国国家自然科学基金;
关键词：
periodic solutions; p-Laplacian; Fucik spectrum; Leray-Schauder degree; Borsuk theorem; BOUNDARY-VALUE PROBLEM; NONRESONANCE CONDITIONS; FUCIK SPECTRUM; OPERATORS; SYSTEMS;
D O I：
10.1186/1687-2770-2013-96
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the existence of periodic solutions for the one-dimensional p-Laplacian equation -(phi(p)(u'))' = f(t,u), where phi(p)(u) = vertical bar u|(p-2)u (1 < p < + infinity), f is an element of C([0, 2 pi] x R,R). By using some asymptotic interaction of the ratios f(t,u)/vertical bar u vertical bar(p-2)u and p integral(u)(0) f(t,s)ds/vertical bar u vertical bar(p) with the Fucik spectrum of -(phi(p)(u'))' related to periodic boundary condition, we establish a new existence theorem of periodic solutions for the one-dimensional p-Laplacian equation.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Existence of periodic solutions for a class of p-Laplacian equations
    Xiaojun Chang
    Yu Qiao
    [J]. Boundary Value Problems, 2013
  • [2] EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS
    Kim, Yong-In
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (01): : 87 - 95
  • [3] EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS
    Kim, Yong-In
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (02): : 103 - 109
  • [4] Existence of Periodic Solutions for A Class of p-Laplacian System
    Cao, Fengjuan
    Han, Zhenlai
    Zhao, Ping
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 567 - 570
  • [5] On the existence of periodic solutions for a class of p-Laplacian system
    Peng, Shiguo
    Xu, Zhiting
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 166 - 174
  • [6] Existence and multiplicity of solutions for a class of p-Laplacian equations
    Li, Lin
    Chen, Shang-Jie
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 27 : 59 - 63
  • [7] Existence of Periodic Solutions for a Class of Difference Systems with p-Laplacian
    Chen, Kai
    Zhang, Qiongfen
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [8] Existence and Multiplicity of Periodic Solutions to Fractional p-Laplacian Equations
    Li, Lin
    Tersian, Stepan
    [J]. DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 495 - 507
  • [9] Existence of Periodic Solutions for p-Laplacian Equations on Time Scales
    Cao, Fengjuan
    Han, Zhenlai
    Sun, Shurong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [10] Existence of Solutions for Asymptotically Periodic Fractional p-Laplacian Equations
    He, Shuwen
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (02): : 329 - 342
12345