Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-05T05:45:35.322Z Has data issue: false hasContentIssue false

A nonoscillation theorem for a second order sublinear retarded differential equation

Published online by Cambridge University Press:  17 April 2009

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
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), 92101.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), 289292.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), 3540.Google Scholar
[5]Wong, James S.W., “On the generalized Emden-Fowler equation”, SIAM Rev. 17 (1975), 339360.Google Scholar