Abstract
The purpose of this paper is to study the existence and asymptotic behavior of solutions to a class of second-order nonlinear dynamic equations on unbounded time scales. Four different results are obtained by using the Banach fixed point theorem, the Boyd and Wong fixed point theorem, the Leray-Schauder nonlinear alternative, and the Schauder fixed point theorem. For each theorem, an illustrative example is presented. The results provide unification and some extensions in the time scale setup of the theory of asymptotic integration of nonlinear equations both in the continuous and discrete cases
Recommended Citation
E. Akin et al., "On the Asymptotic Integration of Nonlinear Dynamic Equations," Advances in Difference Equations, vol. 2008, Hindawi Publishing Corporation, Jan 2008.
The definitive version is available at https://doi.org/10.1155/2008/739602
Department(s)
Mathematics and Statistics
Sponsor(s)
National Science Foundation (U.S.)
Keywords and Phrases
Banach Fixed Point Theorem; Boyd and Wong Fixed Point Theorem; Leray-Schauder Nonlinear Alternative; Schauder Fixed Point Theorem
International Standard Serial Number (ISSN)
1687-1839
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2008 Hindawi Publishing Corporation, All rights reserved.
Publication Date
01 Jan 2008
