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Oscillation of Second-Order Sublinear Impulsive Differential Equations
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Oscillation criteria obtained by Kusano and Onose (1973) and by Belohorec (1969) are extended to second-order sublinear impulsive differential equations of Emden-Fowler type: x″(t)+p(t)|x(τ(t))|α-1x(τ(t))=0, t≠θk; Δx'(t)|t=θk+qk|x(τ(θk))|α-1x(τ(θk))=0; Δx(t)|t=θk=0, (0<α<1) by considering the cases τ(t)≤t and τ(t)=t, respectively.
Examples are inserted to show how impulsive perturbations greatly affect the oscillation behavior of the solutions.
American Psychological Association (APA)
Zafer, Agacik. 2011. Oscillation of Second-Order Sublinear Impulsive Differential Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-473112
Modern Language Association (MLA)
Zafer, Agacik. Oscillation of Second-Order Sublinear Impulsive Differential Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-473112
American Medical Association (AMA)
Zafer, Agacik. Oscillation of Second-Order Sublinear Impulsive Differential Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-473112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473112