Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales

Author

Elvan Akin, Missouri University of Science and TechnologyFollow
Joan Hoffacker

Editor(s)

Elaydi, Saber

Abstract

In this paper, we explore the oscillation properties of on a time scale T with only isolated points, where p(t) is defined on T and γ is a quotient of odd positive integers. We define oscillation in this setting, and generate conditions on the integral of p(t) which guarantee oscillation and find conditions which give the existence of a nonoscillatory solution. In addition, we consider the case when solutions of this equation has asymptotically positively bounded differences.

Recommended Citation

E. Akin and J. Hoffacker, "Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales," Journal of Difference Equations and Applications, Taylor & Francis, Jan 2003.

The definitive version is available at https://doi.org/10.1080/1023619021000053575

Department(s)

Mathematics and Statistics

Keywords and Phrases

time scale; oscillation; nonlinear; 39A13; 93C70

International Standard Serial Number (ISSN)

1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Taylor & Francis, All rights reserved.

Publication Date

01 Jan 2003