Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales. (3rd November 2013)

• Record Type: Journal Article
• Authors: Wang, Yan; Li, Lan
• Other Names: Kulenovic Mustafa R. S. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2013(2013)
• Publication Date: 2013-11-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2013/784198
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We firstly introduce the concept and the properties of C m 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.