On the Pointwise Completeness of Delay-Differential Systems of Neutral Type

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 7, pages 913-929 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Choudhury, A. K.;

doi: 10.1137/0507072

On the Pointwise Completeness of Delay-Differential Systems of Neutral Type

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Abstract

Necessary and sufficient conditions for pointwise completeness of delay-differential systems of neutral type are given. It is shown that there exist second order delay-differential systems of neutral type which are not pointwise complete. It is also proved that degeneracy in case of nth order delay-differential systems of neutral type with one delay can start no later than $(n - 1)h$, where h is the delay.

Keywords

General theory of functional-differential equations

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