Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales
Joint Authors
Han, Zhen-Lai
Sun, Shurong
Sun, Yibing
Zhang, Chao
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-21
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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 ? 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.
American Psychological Association (APA)
Sun, Yibing& Han, Zhen-Lai& Sun, Shurong& Zhang, Chao. 2013. Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465697
Modern Language Association (MLA)
Sun, Yibing…[et al.]. Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-465697
American Medical Association (AMA)
Sun, Yibing& Han, Zhen-Lai& Sun, Shurong& Zhang, Chao. Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465697
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465697