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Linear perturbations of a nonoscillatory second-order dynamic equation.
- Source :
- Journal of Difference Equations & Applications; Nov/Dec2009, Vol. 15 Issue 11/12, p1211-1221, 11p
- Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- PERTURBATION theory
DIFFERENCE equations
EXPONENTIAL functions
MATHEMATICS
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 15
- Issue :
- 11/12
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 44339167
- Full Text :
- https://doi.org/10.1080/10236190903022782