OSCILLATION OF PERTURBED DELAY DYNAMIC EQUATIONS ON TIME SCALES

S. H. SAKER

Title	OSCILLATION OF PERTURBED DELAY DYNAMIC EQUATIONS ON TIME SCALES
Publication Type	Journal Article
Year of Publication	2008
Authors	SAKER, SH
Volume	12
Issue	2
Start Page	209
Pagination	12
Date Published	2008
ISSN	1083-2564
AMS	34C10, 34K11, 39A13
Abstract	In this paper, we study the oscillation of second-order nonlinear perturbed delay dynamic equations on time scales. By using employing the Riccati substitution, we establish some sufficient conditions for oscillation. We also follow the technique that has been used in [20] and establish some different sufficient conditions for oscillation which can be considered as the extension of oscillation criteria established by Hille and Nehari for second-order differential equations and can be applied on the sublinear and superlinear cases. As a special case the results improve some oscillation criteria in the literature for perturbed dynamic equations without delay. Some examples are considered to illustrate the main results
URL	http://www.acadsol.eu/en/articles/12/2/9.pdf
Refereed Designation	Refereed
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