Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
Joint Authors
Hassan, Heba A.
Khodier, Ahmed M. M.
Agwa, H. A.
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-29
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this work, we use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation (p(t)(xΔ(t))γ)Δ+q(t)f(x(τ(t)))=0, on a time scale ?, where γ is the quotient of odd positive integers and p(t) and q(t) are positive right-dense continuous (rd-continuous) functions on ?.
Our results improve and extend some results established by Sun et al.
2009.
Also our results unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.
Finally, we give some examples to illustrate our main results.
American Psychological Association (APA)
Agwa, H. A.& Khodier, Ahmed M. M.& Hassan, Heba A.. 2011. Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-504423
Modern Language Association (MLA)
Agwa, H. A.…[et al.]. Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales. International Journal of Differential Equations No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-504423
American Medical Association (AMA)
Agwa, H. A.& Khodier, Ahmed M. M.& Hassan, Heba A.. Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-504423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504423