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Remarks on the Asymptotic Behaviour of Perturbed Linear Systems†

Published online by Cambridge University Press:  18 May 2009

James S. W. Wong
James S. W. Wong
Affiliation:
Carnegie-Mellon University, Pittsburgh, Pennasylvania, U.S.A.
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Extract

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Remarks 1, 3 and 5 are incorrect as stated. They should be supplemented by the following observations:

(i) In case the perturbing term is linear in y, i.e. f(t, y) = B(t)y, the conclusion of Theorem 1 will follow from Lemma 1 when applied to equation (15) if we assume, instead of (6),

The hypothesis given in Trench's theorem is sufficient to imply (*) but not (6). A similar comment applies to Remark 5.

Type
Corrigenda
Information
Glasgow Mathematical Journal , Volume 11 , Issue 1 , January 1970 , pp. 84
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

† Vol. 10 (1969), 116–120