Interval Oscillation Criteria for Second‐Order Nonlinear Forced Dynamic Equations with Damping on Time Scales

Yibing Sun, Zhenlai Han, Shurong Sun and Chao Zhang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: By using the Riccati transformation technique and constructing a class of Philos‐type functions on time scales, we establish some new interval oscillation criteria for the second‐order damped nonlinear dynamic equations with forced term of the form (r(t)xΔ(t)) Δ + p(t)xΔσ(t) + q(t)(xσ(t)) α = F(t, xσ(t)) on a time scale 𝕋 which is unbounded, where α is a quotient of odd positive integer. Our results in this paper extend and improve some known results. Some examples are given here to illustrate our main results.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/359240

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:359240

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().