Oscillation Theorems for Second-Order Half-Linear Advanced Dynamic Equations on Time Scales
Joint Authors
Li, Tongxing
Thandapani, Ethiraju
Tang, Shuhong
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-25
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with the oscillatory behavior of the second-order half-linear advanced dynamic equation (r(t)(xΔ(t))γ)Δ+p(t)xγ(g(t))=0 on an arbitrary time scale ? with sup ?=∞, where g(t)≥t and ∫to∞(Δs/(1r/γ(s)))<∞.
Some sufficient conditions for oscillation of the studied equation are established.
Our results not only improve and complement those results in the literature but also unify the oscillation of the second-order half-linear advanced differential equation and the second-order half-linear advanced difference equation.
Three examples are included to illustrate the main results.
American Psychological Association (APA)
Tang, Shuhong& Li, Tongxing& Thandapani, Ethiraju. 2011. Oscillation Theorems for Second-Order Half-Linear Advanced Dynamic Equations on Time Scales. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-502411
Modern Language Association (MLA)
Tang, Shuhong…[et al.]. Oscillation Theorems for Second-Order Half-Linear Advanced Dynamic Equations on Time Scales. International Journal of Differential Equations No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-502411
American Medical Association (AMA)
Tang, Shuhong& Li, Tongxing& Thandapani, Ethiraju. Oscillation Theorems for Second-Order Half-Linear Advanced Dynamic Equations on Time Scales. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-502411
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502411
