On Nonoscillatory Solutions of Two Dimensional Nonlinear Delay Dynamical Systems

Abstract

We study the classification schemes for nonoscillatory solutions of a class of nonlinear two dimensional systems of first order delay dynamic equations on time scales. Necessary and sufficient conditions are also given in order to show the existence and nonexistence of such solutions and some of our results are new for the discrete case. Examples will be given to illustrate some of our results.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Oscillation; Time scales; Two-dimensional dynamical system

International Standard Serial Number (ISSN)

1232-9274; 2300-6919

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 AGH University of Science and Technology Press, Krakow, All rights reserved.

Publication Date

01 Sep 2016

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