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Stability of Solutions of Ordinary Differential Equations with Respect to a Closed Set

Published online by Cambridge University Press:  20 November 2018

T. G. Hallam  and
V. Komkov
T. G. Hallam
Affiliation:
Florida Slate University, Tallahassee, Florida
V. Komkov
Affiliation:
Florida Slate University, Tallahassee, Florida
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The stability of the solutions of an ordinary differential equation will be discussed here. The purpose of this note is to compare the stability results which are valid with respect to a compact set and the stability results valid with respect to an unbounded set. The stability of sets is a generalization of stability in the sense of Liapunov and has been discussed by LaSalle (5; 6), LaSalle and Lefschetz (7, p. 58), and Yoshizawa (8; 9; 10).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 720 - 726
Copyright
Copyright © Canadian Mathematical Society 1968

References

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