Oscillation and Asymptotic Behavior of Solutions of Third order Differential Delay Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 7, pages 491-500 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Erbe, L.;

doi: 10.1137/0507040

Oscillation and Asymptotic Behavior of Solutions of Third order Differential Delay Equations

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Abstract

In this paper we introduce comparison techniques for studying the oscillatory and asymptotic behavior of solutions of third order differential equations with retarded argument. This allows the use of “Kneser-type”, as well as integral, criteria for deciding the behavior of the solutions.

Keywords

Functional-differential equations (including equations with delayed, advanced or state-dependent argument), Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

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