Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale

Author

Erbe Lynn
Allan Peterson
Martin Bohner, Missouri University of Science and TechnologyFollow

Abstract

We obtain some oscillation criteria for solutions to the nonlinear dynamic equation xΔΔ+q(t)xΔσ+p(t)(f○xσ)=0, on time scales. In particular, no explicit sign assumptions are made with respect to the coefficients p(t), q(t). We illustrate the results by several examples, including a superlinear Emden-Fowler dynamic equation.

Recommended Citation

E. Lynn et al., "Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale," Journal of Mathematical Analysis and Applicaitons, Elsevier, Jan 2004.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2004.07.038

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamic equation; Oscillation; Time scales

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Elsevier, All rights reserved.

Publication Date

01 Jan 2004