On oscillatory and asymptotic behavior of fourth order nonlinear neutral delay dynamic equations with positive and negative coefficients
On oscillatory and asymptotic behavior of fourth order nonlinear neutral delay dynamic equations with positive and negative coefficients
No Thumbnail Available
Date
2014-01-01
Authors
Graef, John R.
Panigrahi, Saroj
Reddy, P. Rami
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this paper, oscillatory and asymptotic properties of solutions of nonlinear fourth order neutral dynamic equations of the form (Formula presented.) and (Formula presented.) are studied on a time scale T under the assumption that (Formula presented.) and for various ranges of p(t). In addition, sufficient conditions are obtained for the existence of bounded positive solutions of the equation (NH) by using Krasnosel'skii's fixed point theorem. © 2014 Versita Warsaw and Springer-Verlag Wien.
Description
Keywords
asymptotic behavior,
existence of positive solutions,
neutral dynamic equations,
oscillation,
time scales
Citation
Mathematica Slovaca. v.64(2)