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Uniformly almost periodic solutions of non-linear differential equations of the second order I. General exposition†

Published online by Cambridge University Press:  24 October 2008

Chike Obi
Chike Obi
Affiliation:
University College Ibadan Nigeria, West Africa
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Extract

1·1. A general problem in the theory of non-linear differential equations of the second order is: Given a non-linear differential equation of the second order uniformly almost periodic (u.a.p.) in the independent variable and with certain disposable constants (parameters), to find: (i) the non-trivial relations between these parameters such that the given differential equation has a non-periodic u.a.p. solution; (ii) the number of periodic and non-periodic u.a.p. solutions which correspond to each such relation; and (iii) explicit analytical expressions for the u.a.p. solutions when they exist.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 604 - 613
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

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