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Almost Automorphic Functions of Order and Applications to Dynamic Equations on Time Scales

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  • Gisèle Mophou
  • Gaston Mandata N’Guérékata
  • Aril Milce

Abstract

We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of order . Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay.

Suggested Citation

  • Gisèle Mophou & Gaston Mandata N’Guérékata & Aril Milce, 2014. "Almost Automorphic Functions of Order and Applications to Dynamic Equations on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-13, December.
    • Handle: RePEc:hin:jnddns:410210
    DOI: 10.1155/2014/410210
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    Cited by:

    1. Bing Li & Yongkun Li & Xiaofang Meng, 2019. "The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales," Mathematics, MDPI, vol. 7(4), pages 1-25, March.
    2. Chao Wang & Rathinasamy Sakthivel & Gaston M. N’Guérékata, 2020. "S -Almost Automorphic Solutions for Impulsive Evolution Equations on Time Scales in Shift Operators," Mathematics, MDPI, vol. 8(6), pages 1-28, June.

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