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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An analogue of Lyapunov's criterion for $ (m,n-m)$-disfocality


Author: S. Umamaheswaram
Journal: Proc. Amer. Math. Soc. 117 (1993), 665-671
MSC: Primary 34C10; Secondary 34B05
MathSciNet review: 1150655
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Abstract: An integral criterion for the $ (m,n - m)$-disfocality $ (1 \leqslant m \leqslant n - 1)$ on $ [a,b]$ of a linear nth order differential equation is given. The criterion is analogous to that of Lyapunov (1947) and Nehari (1962).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1150655-8
PII: S 0002-9939(1993)1150655-8
Article copyright: © Copyright 1993 American Mathematical Society