Almost Periodic Functions on Time Scales and Applications | Zendy

Yongkun Li | Zendy; Chao Wang | Zendy

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Almost Periodic Functions on Time Scales and Applications

Author(s) -

Yongkun Li,

Chao Wang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/727068

Subject(s) - periodic function , mathematics , class (philosophy) , almost periodic function , period (music) , stability (learning theory) , differential equation , periodic sequence , time scale calculus , variable (mathematics) , mathematical analysis , computer science , physics , artificial intelligence , machine learning , acoustics , multivariable calculus , control engineering , engineering

We first propose the concept of almost periodic time scales and thengive the definition of almost periodic functions on almost periodic time scales, then byusing the theory of calculus on time scales and some mathematical methods, some basicresults about almost periodic differential equations on almost periodic time scales areestablished. Based on these results, a class of high-order Hopfield neural networks withvariable delays are studied on almost periodic time scales, and some sufficient conditionsare established for the existence and global asymptotic stability of the almost periodicsolution. Finally, two examples and numerical simulations are presented to illustratethe feasibility and effectiveness of the results

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