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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

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