Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales

Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations...

Full description

Saved in:
Bibliographic Details
Main Authors: Yang-Cong Qiu, Qi-Ru Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/952932
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results.
ISSN:1026-0226
1607-887X