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A comparison theorem and the forced oscillation

Published online by Cambridge University Press:  17 April 2009

Hiroshi Onose
Hiroshi Onose
Affiliation:
Department of Mathematics, Ibaraki University, Mito, Japan.
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Abstract

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Consider the n-th order delay differential equation

In the last few years, the oscillatory behavior of delay differential equations has been the subject of intensive investigations. But much less is known about the equation (A) with small forcing term q(t). The only papers devoted to this problem are by Kartsatos, Kusano, and the present author. The purpose of this paper is to prove some new oscillation theorems which contain the previous results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 13 - 19
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Kartsatos, Athanassios G., “Maintenance of oscillations under the effect of a periodic forcing term”, Proc. Amer. Math. Soc. 33 (1972), 377–383.CrossRefGoogle Scholar
[2]Кигурадзе, И.Т. [I.T. Kiguradze], “К вопросу колеблемости решений нелинейных диффернциалъных уравнений” [The problem of oscillation of solutions of nonlinear differential equations], Differenaial'nye Uravnenija 1 (1965), 995–1006; Differential Equations 1 (1965), 773–782.Google ScholarPubMed
[3]Kusano, T. and Onose, H., “Oscillations of functional differential equations with retarded argument”, J. Differential Equations 15 (1974), 269–277.CrossRefGoogle Scholar