Linear Perturbations of a Nonoscillatory Second-order Dynamic Equation

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Stevo Stević

Abstract

We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and improve recently given conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has solutions that behave asymptotically like a recessive and a dominant solution of the unperturbed equation. the presented results are time scales analogues of a 2002 paper on the differential equations case by Trench. the difference equations case has not been treated yet, but is contained in our study together with other cases of dynamic equations. © 2009 Taylor & Francis.

Recommended Citation

M. Bohner and S. Stević, "Linear Perturbations of a Nonoscillatory Second-order Dynamic Equation," Journal of Difference Equations and Applications, vol. 15, no. 11 thru 12, pp. 1211 - 1221, Taylor and Francis Group; Taylor and Francis, Nov 2009.

The definitive version is available at https://doi.org/10.1080/10236190903022782

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic behaviour; Dynamic equation; Perturbation; Recessive and dominant solution; Time scale

International Standard Serial Number (ISSN)

1563-5120; 1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

23 Nov 2009