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A further result on the existence of periodic solutions of the equation

Published online by Cambridge University Press:  24 October 2008

J. O. C. Ezeilo
J. O. C. Ezeilo
Affiliation:
University of Nigeria
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Extract

1. In the equation in the title (referred to hereafter as the equation (E)) a, b are positive constants and h, p are continuous functions depending only on the arguments shown, with p ω-periodic in t, that is p(t, x, y, z) = p(t + ω, x, y, z) for some constant ω > 0 and for arbitrary t, x, y and z. We shall be concerned specifically with the existence of ω-periodic solutions of equations (E), in which the function h is such that |h(x)| → ∞ as |x| → ∞.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 547 - 551
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Pliss, V. A.Dokl. Akad. Nauk SSSR 139 (1961), 302–304.Google Scholar
(2)Ezeilo, J. O. C.Proc. Cambridge Philos. Soc. 56 (1960), 381–389.CrossRefGoogle Scholar
(3)Ezeilo, J. O. C.Periodic Solution of certain third order differential equations (pre-print).Google Scholar
(4)Reissig, R.Ann. Mat. Pura Appl. 92 (1972), 199–209.CrossRefGoogle Scholar
(5)Schaefer, H.Math. Ann. 129 (1955), 415–416.CrossRefGoogle Scholar