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Publication Cover
Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 2
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Original Articles

Sharp conditions for oscillations caused by delays

Gerasimos LadasView further author information
&
V. LakshmikanthamView further author information
Pages 93-98 | Received 10 Nov 1977, Published online: 10 May 2007
 
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Abstract

AMS (MOS) subject classification (1970): Primary 34K15; Secondary 34K25, 34E10.

A sufficient condition under which all solutions of the delay differential equation , where p(t≤0 and continuous and τ>0 and constant, are oscillatory is presented. It is explained that the condition is the best possible for oscillations. When the coefficient p(t) in equation (1) is a positive constant, p, then the condition becomes pτe>0 which is necessary and sufficient for all solutions of the DDE to be oscillatory.

Additional information

Notes on contributors

Gerasimos Ladas

V. Lakshmikantham

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