Article
Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale
Journal of Mathematical Analysis and Applicaitons
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.
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
1-1-2004
Publication Date
01 Jan 2004
Disciplines
Citation Information
Erbe Lynn, Allan Peterson and Martin Bohner. "Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale" Journal of Mathematical Analysis and Applicaitons (2004) Available at: http://works.bepress.com/martin-bohner/78/