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


Bounds for solutions of a differential inequality

Author: Uri Elias
Journal: Proc. Amer. Math. Soc. 128 (2000), 475-484
MSC (1991): Primary 34C10
Published electronically: May 27, 1999
MathSciNet review: 1641685
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Abstract: This work compares the solutions of an $n$th order differential inequality plus $n$ boundary conditions with the solution of the related differential equation with $ n-1 $ boundary conditions. The differential operator is assumed to be disconjugate. It is proved that under suitable conditions the ratio of these solutions is monotone. The solution of the inequality can be replaced by the corresponding Green's function.

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Additional Information

Uri Elias
Affiliation: Department of Mathematics, Technion, Haifa 32000, Israel

PII: S 0002-9939(99)05140-0
Keywords: Differential inequality, disconjugate differential operator
Received by editor(s): March 25, 1998
Published electronically: May 27, 1999
Communicated by: Hal L. Smith
Article copyright: © Copyright 1999 American Mathematical Society

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