Comparison Criteria for Third Order Functional Dynamic Equations with Mixed Nonlinearities

Author

Elvan Akin, Missouri University of Science and TechnologyFollow
Taher S. Hassan

Abstract

In this paper, we investigate comparison criteria for third order nonlinear dynamic equations with mixed nonlinearities on time scales. Our results are essentially new. Some applications illustrating the importance of our results are included and these applications solve a problem posed in [2, Remark 3.3].

Recommended Citation

E. Akin and T. S. Hassan, "Comparison Criteria for Third Order Functional Dynamic Equations with Mixed Nonlinearities," Applied Mathematics and Computation, vol. 268, pp. 169 - 185, Elsevier, Oct 2015.

The definitive version is available at https://doi.org/10.1016/j.amc.2015.06.046

Department(s)

Mathematics and Statistics

Keywords and Phrases

Control nonlinearities; Difference equations; Comparison criterion; Dynamic equations; Functional dynamic equation; Third order; Third order nonlinear dynamic equation; Time-scales; Nonlinear equations; Comparison criteria; Time scales

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Elsevier, All rights reserved.

Publication Date

01 Oct 2015