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Multiplicity and bifurcation of periodic solutions in ordinary differential equations

Published online by Cambridge University Press:  14 November 2011

B. Laloux
B. Laloux
Affiliation:
Université Catholique de Louvain, Louvain-la-Neuve, Belgium
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Synopsis

One considers the linear differential systems where is a (not necessarily diagonal) matrix and one relates the computation of a general multiplicity defined from this system to the corresponding multiplicity of some eigenvalues of . Then applying these conclusions, one gives simple conditions ensuring the existence of odd or even periodic solutions for systems having the form .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 3-4 , 1979 , pp. 225 - 232
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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