Positive almost automorphic solutions for a class of non-linear delay integral equations

被引:8
|
作者
Ding, Hui-Sheng [2 ]
Liang, Jin [3 ]
Xiao, Ti-Jun [1 ]
机构
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
基金
高等学校博士学科点专项科研基金;
关键词
almost automorphic; delay integral equation; fixed point; positive solution; ALMOST-PERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I
10.1080/00036810802713875
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article is concerned with a class of non-linear delay integral equations, which unify some extensively studied delay integral equations. We establish a new existence and uniqueness theorem about positive almost automorphic solutions of the delay integral equations. Our theorem can deal with some cases to which many known results are not applicable. Two examples are given to illustrate our results.
引用
收藏
页码:231 / 242
页数:12
相关论文
共 50 条
  • [1] Existence of positive almost automorphic solutions to nonlinear delay integral equations
    Ding, Hui-Sheng
    Xiao, Ti-Jun
    Liang, Jin
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) : 2216 - 2231
  • [2] POSITIVE ALMOST AUTOMORPHIC SOLUTIONS FOR SOME NONLINEAR DELAY INTEGRAL EQUATIONS
    Long, Wei
    Ding, Hui-Sheng
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
  • [3] POSITIVE ALMOST AUTOMORPHIC SOLUTIONS FOR SOME NONLINEAR INFINITE DELAY INTEGRAL EQUATIONS
    Dads, E. H. Ait
    Cieutat, P.
    Lhachimi, L.
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (3-4): : 515 - 538
  • [4] Compact almost automorphic solutions to integral equations with infinite delay
    Henriquez, Hernan R.
    Lizama, Carlos
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6029 - 6037
  • [5] POSITIVE STEPANOV-LIKE ALMOST AUTOMORPHIC SOLUTIONS FOR SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS
    Sadrati, Abdellatif
    Zertiti, Abderrahim
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
  • [6] EXISTENCE OF ASYMPTOTICALLY ALMOST AUTOMORPHIC SOLUTIONS TO NONLINEAR DELAY INTEGRAL EQUATIONS
    Zhao, Jian-Qiong
    Chang, Yong-Kui
    N'Guerekata, G. M.
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (2-3): : 339 - 349
  • [7] Existence of positive almost automorphic solutions to neutral nonlinear integral equations
    Ding, Hui-Sheng
    Liang, Jin
    N'Guerekata, Gaston M.
    Xiao, Ti-Jun
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (04) : 1188 - 1199
  • [8] Almost automorphic solutions to integral equations on the line
    Claudio Cuevas
    Carlos Lizama
    [J]. Semigroup Forum, 2009, 79 : 461 - 472
  • [9] EXISTENCE OF SOLUTIONS TO A CERTAIN CLASS OF NON-LINEAR INTEGRAL EQUATIONS
    MARCHENKO, N
    [J]. DOKLADY AKADEMII NAUK SSSR, 1961, 137 (03): : 515 - &
  • [10] Almost automorphic solutions to integral equations on the line
    Cuevas, Claudio
    Lizama, Carlos
    [J]. SEMIGROUP FORUM, 2009, 79 (03) : 461 - 472