Bounds for solutions of a differential inequality

Elias, Uri

doi:10.1090/S0002-9939-99-05140-0

Bounds for solutions of a differential inequality
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Proc. Amer. Math. Soc. 128 (2000), 475-484 Request permission

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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