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A generalization of a boundedness theorem for a certain third-order differential equation

Published online by Cambridge University Press:  24 October 2008

J. O. C. Ezeilo
Affiliation:
Department of Mathematics, University of Ibadan, Ibadan, Nigeria

Extract

1. This paper investigates the boundedness, as t → ∞, of the solutions of the real differential equation

where α is a constant and φ2, φ3, ψ depend on the arguments shown with φ2, φ′3, ψ continuous.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Ezeilo, J. O. C.Proc. London Math. Soc. 13 (1963), 99124.CrossRefGoogle Scholar
(2)Ezeilo, J. O. C.Proc. International Symposium on Non-linear Vibrations (Kiev) 2 (1963), 513538.Google Scholar
(3)Ezeilo, J. O. C.J. London Math. Soc. 38 (1963), 1116.CrossRefGoogle Scholar
(4)Barbasin, E. A.Prikl. Mat. Meh. 16 (1952), 629632.Google Scholar
(5)Reissig, R.Monatsb. Deutsch. Akad. Wiss. Berlin 6 (1954), 481484.Google Scholar
(6)Titchmarsh, E. C.The theory of functions (Oxford University Press, 1952).Google Scholar