Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales

被引:0
|
作者
Yongkun Li
Chao Wang
机构
[1] Yunnan University Kunming,Department of Mathematics
关键词
dynamic equations on time scales; pseudo almost periodic functions; exponential dichotomy; pseudo almost periodic solutions;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we first introduce a concept of the mean-value of uniformly almost periodic functions on time scales and give some of its basic properties. Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic properties of pseudo almost periodic functions on time scales. Finally, we establish some results about the existence of pseudo almost periodic solutions to dynamic equations on time scales.
引用
收藏
相关论文
共 50 条
  • [1] Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
    Li, Yongkun
    Wang, Chao
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [2] Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales
    Li, Yongkun
    Wang, Chao
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [3] Almost and Pseudo Almost Periodic Solutions in Shifts Delta(+/-) for Nonlinear Dynamic Equations on Time Scales with Applications
    Wang, Lili
    Xie, Pingli
    Wang, Yuwei
    IAENG International Journal of Applied Mathematics, 2023, 53 (03)
  • [4] WEYL ALMOST PERIODIC FUNCTIONS ON TIME SCALES AND WEYL ALMOST PERIODIC SOLUTIONS OF DYNAMIC EQUATIONS WITH DELAYS
    Li, Yongkun
    Huang, Xiaoli
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (03): : 1022 - 1042
  • [5] Pseudo almost periodic solutions for a class of nonlinear Duffing equations on time scales
    Yang, Hao
    Li, Hong-Xu
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (04):
  • [6] Stepanov-like pseudo almost periodic functions on time scales and applications to dynamic equations with delay
    Tang, Chao-Hong
    Li, Hong-Xu
    OPEN MATHEMATICS, 2018, 16 : 826 - 841
  • [7] Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
    Cieutat, Philippe
    Fatajou, Samir
    N'Guerekata, Gaston M.
    APPLICABLE ANALYSIS, 2010, 89 (01) : 11 - 27
  • [8] Asymptotically almost periodic, almost periodic and pseudo-almost periodic mild solutions for neutral differential equations
    Zhao, Zhi-Han
    Chang, Yong-Kui
    Li, Wen-Sheng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3037 - 3044
  • [9] Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
    Wang, Chao
    Agarwal, Ravi P.
    O'Regan, Donal
    Sakthivel, Rathinasamy
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
  • [10] Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
    Chao Wang
    Ravi P. Agarwal
    Donal O’Regan
    Rathinasamy Sakthivel
    Boundary Value Problems, 2019