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Interval Oscillation Criteria for Super-Half-Linear Impulsive Differential Equations with Delay
Joint Authors
Zhou, Xiaoliang
Guo, Zhonghai
Wang, Wu-Sheng
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We study the following second-order super-half-linear impulsive differential equations with delay [r(t)φγ(x′(t))]′+p(t)φγ(x(t-σ))+q(t)f(x(t-σ))=e(t), t≠τk, x(t+)=akx(t), x′(t+)=bkx′(t), t=τk, where t≥t0∈ℝ, φ*(u)=|u|*-1u, σ is a nonnegative constant, {τk} denotes the impulsive moments sequence with τ1<τ2<⋯<τk<⋯, lim k→∞τk=∞, and τk+1-τk>σ.
By some classical inequalities, Riccati transformation, and two classes of functions, we give several interval oscillation criteria which generalize and improve some known results.
Moreover, we also give two examples to illustrate the effectiveness and nonemptiness of our results.
American Psychological Association (APA)
Guo, Zhonghai& Zhou, Xiaoliang& Wang, Wu-Sheng. 2012. Interval Oscillation Criteria for Super-Half-Linear Impulsive Differential Equations with Delay. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993111
Modern Language Association (MLA)
Guo, Zhonghai…[et al.]. Interval Oscillation Criteria for Super-Half-Linear Impulsive Differential Equations with Delay. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-993111
American Medical Association (AMA)
Guo, Zhonghai& Zhou, Xiaoliang& Wang, Wu-Sheng. Interval Oscillation Criteria for Super-Half-Linear Impulsive Differential Equations with Delay. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993111
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993111