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Oscillation of Impulsive Neutral Delay Differential Equations

โœ Scribed by J.R. Graef; J.H. Shen; I.P. Stavroulakis

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
167 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form

are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. * and * * may be caused by the impulsive perturbations * * though the corresponding neutral delay differential equation without impulses, i.e., Eq. * , admits a nonoscillatory solution. It is also seen that the oscillatory behavior of all solutions of Eq. * can be inherited by Eqs. * and * * under certain impulsive perturbations * * . Some examples are also given to illustrate the applicability of the results obtained. ๏ฃฉ 2002 Elsevier Science (USA)

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