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Bounds for solutions of a differential inequality
Authors:Uri Elias
Affiliation:Department of Mathematics, Technion, Haifa 32000, Israel
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.

Keywords:Differential inequality   disconjugate differential operator
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