Title

Oscillation of Second-Order Nonlinear Neutral Dynamic Equations with Noncanonical Operators

Abstract

The study of half-linear differential equations has become an important area of research due to the fact that such equations occur in a variety of real-world problems such as in the study of p-Laplace equations, non-Newtonian fluid theory, and the turbulent flow of a polytrophic gas in a porous medium. On the basis of these background details, we study oscillatory behavior of a class of second-order neutral functional dynamic equations on a time scale. New criteria improve and complement related results reported in the literature. Some examples are included to illustrate the results obtained. In particular, an example regarding the second-order neutral differential equation is also provided to show that these theorems improve those in the continuous case.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Neutral dynamic equation; Oscillation; Second-order nonlinear equation; Time scale

International Standard Serial Number (ISSN)

0126-6705

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Malaysian Mathematical Sciences Society and Universiti Sains Malaysia, All rights reserved.

Publication Date

01 Apr 2015

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