Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales | Zendy

Yan Wang | Zendy; Lan Li | Zendy

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Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales

Author(s) -

Yan Wang,

Lan Li

Publication year - 2013

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 - 10.1155/2013/784198

Subject(s) - uniqueness , algorithm , computer science , order (exchange) , mathematics , mathematical analysis , finance , economics

We firstly introduce the concept and the properties of Cm almost periodic functions on time scales, which generalizes the concept of almost periodic functions on time scales and the concept of C(n)-almost periodic functions. Secondly, we consider the existence and uniqueness of almost periodic solutions for second order dynamic equations on time scales by Schauder’s fixed point theorem and contracting mapping principle. At last, we obtain alternative theorems for second order dynamic equations on time scales

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