Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1203.34151
Bohner, Martin; Stević, Stevo
Trench's perturbation theorem for dynamic equations. (English)
[J] Discrete Dyn. Nat. Soc. 2007, Article ID 75672, 11 p. (2007). ISSN 1026-0226; ISSN 1607-887X/e

Summary: 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.

MSC 2000:: *34N05
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34A30 Linear ODE and systems

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]