Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

Author

Elvan Akin, Missouri University of Science and TechnologyFollow
Ozkan Ozturk

Abstract

We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.

Recommended Citation

E. Akin and O. Ozturk, "Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems," Mediterranean Journal of Mathematics, vol. 14, no. 1, Birkhäuser Verlag, Feb 2017.

The definitive version is available at https://doi.org/10.1007/s00009-016-0836-z

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic behaviors; Dynamical systems; Nonoscillation; Time scale

International Standard Serial Number (ISSN)

1660-5446; 1660-5454

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Birkhäuser Verlag, All rights reserved.

Publication Date

01 Feb 2017