Oscillation of nonlinear neutral delay differential Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2006 English Publisher:Springer Science and Business Media LLCJournal:Journal of Applied Mathematics and Computing, volume 21, pages 99-118 (issn: 1598-5865, eissn: 1865-2085,

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Authors: Elabbasy, Elmetwally M.; Hassan, Taher S.; Saker, Samir H.;

doi: 10.1007/bf02896391

Oscillation of nonlinear neutral delay differential Equations

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Abstract

Sufficient conditions for the oscillation of the first-order nonlinear neutral delay differential equation \[ [x(t)-q(t)x(t-\sigma)]'+f(t,x(\tau(t)))=0 \] are given. The results obtained improve and extend some known results. One example is given to illustrate the results.

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Mansoura University
Egypt

Keywords

Oscillation theory of functional-differential equations, Neutral functional-differential equations

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