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Floquet solutions of non-linear ordinary differential equations

Published online by Cambridge University Press:  14 November 2011

H. S. Hassan
H. S. Hassan
Affiliation:
Department of Mathematics, University of Qatar, P.O. Box 2713, Doha, Qatar
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Synopsis

In this paper we study the solutions of the boundary value problem

where t ∊ℝ, x ∊ ℝN, f is a continuous function of (t,x)and locally Lipschitz in x and ω is a fixed positive number and λ ∊ ℝ. By using degree theory we prove results on the existence of solutions of (*) and the dependence of such solutions on λ. We shall prove that (*) does not have an isolated solution, and study the topological properties of the components of solutions of (*).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 267 - 275
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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