Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present new oscillation criteria for the differential equation of the form [r(t)U(t)]′+p(t)k2(x(t), x′(t))|x(t)|νU(t)+q(t)ϕ(x(g1(t)),x′(g2(t)))f(x(t))=0, where U(t)=k1(x(t),x′(t))|x′(t)|α−1x′(t), α≤β, ν=(β−α)/(α+1).
Our research is different from most known ones in the sense that H function is not employed in our results, though Riccati's substitution and its generalized forms are used.
Our criteria which are established under quite general assumptions are an extension for previous results.
In particular, by taking β=α, the above-mentioned equation can be reduced into the various types of equations concerned by people currently.
American Psychological Association (APA)
Qin, Hui-Zeng& Ren, Yongsheng. 2009. Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations. International Journal of Differential Equations،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-492712
Modern Language Association (MLA)
Qin, Hui-Zeng& Ren, Yongsheng. Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations. International Journal of Differential Equations No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-492712
American Medical Association (AMA)
Qin, Hui-Zeng& Ren, Yongsheng. Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations. International Journal of Differential Equations. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-492712
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492712