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Qualitative properties of nonlinear ordinary differential equations

Published online by Cambridge University Press:  14 February 2012

Nelson Onuchic  and
Plácido Z. Táboas
Nelson Onuchic
Affiliation:
Instituto de Ciências Matemáticas de São Carlos, U.S.P., Brasil
Plácido Z. Táboas
Affiliation:
Instituto de Ciências Matemáticas de São Carlos, U.S.P., Brasil Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, U.S.A.
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Synopsis

The perturbed linear ordinary differential equation

is considered. Adopting the same approach of Massera and Schäffer [6], Corduneanu states in [2] the existence of a set of solutions of (1) contained in a given Banach space. In this paper we investigate some topological aspects of the set and analyze some of the implications from a point of view ofstability theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 1-2 , 1977 , pp. 79 - 85
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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