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Zbl 0644.34064
Chapin, Steven
Periodic solutions of differential-delay equations with more than one delay.
(English)
[J] Rocky Mt. J. Math. 17, 555-572 (1987). ISSN 0035-7596

This paper deals with the existence of nontrivial periodic solutions of differential-delay equations of the form $x'(t)=-\alpha \sum\sp{N}\sb{i=0}\lambda\sb if(x(t-p\sb i)).$ The method of proof involves techniques which have been used to study differential-delay equations with a single delay and to show how these techniques can be generalized. These results also imply a nonuniqueness result for so- called slowly oscillating'' periodic solutions of the equation $x'(t)=- \alpha \sum\sp{N}\sb{i=1}f(x(t-i))$ studied by other authors.
[R.S.Dahiya]
MSC 2000:
*34K99 Functional-differential equations
34C25 Periodic solutions of ODE

Keywords: slowly oscillating periodic solutions; differential-delay equations

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