Oscillation Criteria for Second Order Impulsive Delay Differential Equation
作者:
J. Alzabut,
A. Zafer,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 729,
issue 1
页码: 317-324
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1814745
出版商: AIP
数据来源: AIP
摘要:
A necessary and sufficient condition is obtained for oscillation of bounded solutions of second order impulsive delay differential equations of the form(r(t)x′(t))′ + p(t)f(x(&tgr;(t))) = 0, t ≠ &thgr;i, &Dgr;(r(&thgr;i)x′(&thgr;i)) + big(x(&sgr;(&thgr;i))) = 0, i ∈ Z, &Dgr;x(&thgr;i) = 0. An example is also inserted to illustrate the effect of impulses on the oscillatory behavior of the solutions. © 2004 American Institute of Physics
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