Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales
Joint Authors
Hassan, Heba A.
Khodier, Ahmed M. M.
Agwa, H. A.
Source
International Journal of Differential Equations
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We are concerned with the interval oscillation of general type of forced second-order nonlinear dynamic equation with oscillatory potential of the form r t g 1 x t , x Δ t Δ + p ( t ) g 2 ( x ( t ) , x Δ ( t ) ) x Δ ( t ) + q ( t ) f ( x ( τ ( t ) ) ) = e ( t ) , on a time scale T .
We will use a unified approach on time scales and employ the Riccati technique to establish some oscillation criteria for this type of equations.
Our results are more general and extend the oscillation criteria of Erbe et al.
(2010).
Also our results unify the oscillation of the forced second-order nonlinear delay differential equation and the forced second-order nonlinear delay difference equation.
Finally, we give some examples to illustrate our results.
American Psychological Association (APA)
Agwa, H. A.& Khodier, Ahmed M. M.& Hassan, Heba A.. 2016. Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales. International Journal of Differential Equations،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1105690
Modern Language Association (MLA)
Agwa, H. A.…[et al.]. Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales. International Journal of Differential Equations No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1105690
American Medical Association (AMA)
Agwa, H. A.& Khodier, Ahmed M. M.& Hassan, Heba A.. Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales. International Journal of Differential Equations. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1105690
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1105690