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Oscillation Criteria for Second Order Impulsive Delay Differential Equation.

Authors :
Alzabut, J.
Zafer, A.
Source :
AIP Conference Proceedings. 2004, Vol. 729 Issue 1, p317-324. 8p.
Publication Year :
2004

Abstract

A necessary and sufficient condition is obtained for oscillation of bounded solutions of second order impulsive delay differential equations of the form <DFORMULA>(r(t)x′(t))′ + p(t)f(x(τ(t))) = 0, t ≠ θi, Δ(r(θi)x′(θi)) + big(x(σ(θi))) = 0, i ∈ Z, Δx(θi) = 0</DFORMULA>. An example is also inserted to illustrate the effect of impulses on the oscillatory behavior of the solutions. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
729
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
14909731
Full Text :
https://doi.org/10.1063/1.1814745