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A nonoscillation theorem for a second order sublinear retarded differential equation

Published online by Cambridge University Press:  17 April 2009

Takaŝi Kusano  and
Hiroshi Onose
Takaŝi Kusano
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, Japan;
Hiroshi Onose
Affiliation:
Department of Mathematics, Faculty of General Education, Ibaraki University, Mito, Japan.
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Abstract

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Sufficient conditions are obtained for all solutions of a class of second order nonlinear functional differential equations to be nonoscillatory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 401 - 406
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Atkinson, F.V., “On second-order non-linear oscillations”, Pacific J. Math. 5 (1955), 643–641.CrossRefGoogle Scholar
[2]Graef, J.R. and Spikes, P.W., “A nonoscillation result for second order ordinary differential equations”, Rend. Accad. Sci. Fis. Mat. Napoli (4) 41 (1974), 92–101.Google Scholar
[3]Graef, John R. and Spikes, Paul W., “Sufficient conditions for nonoscillation of a second order nonlinear differential equation”, Proc. Amer. Math. Soc. 50 (1975), 289–292.CrossRefGoogle Scholar
[4]Graef, John R. and Spikes, Paul W., “Sufficient conditions for the equation (a(t)x')' + h(t, x, x') + q(t)f(x, x') = e(t, x, x') to be nonoscillatory”, Furikcial. Ekvac. 18 (1975), 35–40.Google Scholar
[5]Wong, James S.W., “On the generalized Emden-Fowler equation”, SIAM Rev. 17 (1975), 339–360.Google Scholar