Article contents
Remarks on the Asymptotic Behaviour of Perturbed Linear Systems†
Published online by Cambridge University Press: 18 May 2009
Extract
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
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1970
References
† Vol. 10 (1969), 116–120
- 1
- Cited by