Abstract
We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has solutions that behave asymptotically like a recessive and dominant solutions of the unperturbed equation. As the theory of time scales unifies continuous and discrete analysis, our results contain as special cases results for corresponding differential and difference equations by William F. Trench.
Recommended Citation
S. Stevic and M. Bohner, "Trench's Perturbation Theorem for Dynamic Equations," Discrete Dynamics in Nature and Society, Hindawi Publishing Corporation, Jan 2007.
The definitive version is available at https://doi.org/10.1155/2007/75672
Department(s)
Mathematics and Statistics
Keywords and Phrases
Dynamics; Perturbation (Mathematics)
International Standard Serial Number (ISSN)
1026-0226
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2007 Hindawi Publishing Corporation, All rights reserved.
Publication Date
01 Jan 2007
