Existence of three periodic positive solutions for a class of integral equations with parameters

被引:10
|
作者
Kang, Shu-Gui [1 ]
Zhang, Guang
Shi, Bao
机构
[1] Naval Aeronaut Engn Inst, Inst Appl Math, Shandong 264001, Peoples R China
[2] Yanbei Normal Univ, Dept Math, Shanxi 037009, Peoples R China
关键词
abstract integral equation; periodic positive solution; cone; fixed point theorem;
D O I
10.1016/j.jmaa.2005.10.072
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish the existence of three periodic positive solutions for a class of abstract integral equations by Leggett-Williams fixed point theorem. Using the existence results for abstract integral equations, the population models are also considered. (c) 2005 Published by Elsevier Inc.
引用
收藏
页码:654 / 665
页数:12
相关论文
共 50 条
  • [21] The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations
    Bin Xu
    Rong Yuan
    Acta Mathematica Sinica, 2005, 21 : 1351 - 1360
  • [22] Existence theorems and periodic solutions of neutral integral equations
    Burton, TA
    Furumochi, T
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (04) : 527 - 546
  • [23] Existence and multiplicity of positive periodic solutions to a class of Liénard equations with repulsive singularities
    Jinrong Wang
    Ben Wang
    Yongwei Miao
    Xingchen Yu
    Journal of Fixed Point Theory and Applications, 2022, 24
  • [24] On the number of positive solutions to a class of integral equations
    Wang, L
    Yu, WS
    Zhang, L
    CONTROL AND CYBERNETICS, 2003, 32 (02): : 383 - 395
  • [25] Global Existence of Positive Solutions for Volterra Integral Equations
    王术
    万春林
    张锟
    数学季刊, 1995, (03) : 97 - 101
  • [26] Existence of positive periodic solutions for abstract evolution equations
    Li, Qiang
    Li, Yongxiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 12
  • [27] Existence of positive periodic solutions for abstract evolution equations
    Qiang Li
    Yongxiang Li
    Advances in Difference Equations, 2015
  • [28] Existence of Periodic Solutions for a Class of Nonlinear Difference Equations
    Xia Liu
    Yuanbiao Zhang
    Haiping Shi
    Qualitative Theory of Dynamical Systems, 2015, 14 : 51 - 69
  • [29] Existence of Periodic Solutions for a Class of Nonlinear Difference Equations
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2015, 14 (01) : 51 - 69
  • [30] Existence of positive periodic solutions of functional differential equations
    Hanustiakova, Lubica
    Olach, Rudolf
    Svanova, Miriam
    CDDEA '06: PROCEEDINGS OF THE CONFERENCE ON DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2006, 2007, 38 : 77 - 88