Positivity conditions and bounds for Green's functions for higher order two-point BVP

Michael I. Gil'

doi:10.2478/s11533-011-0052-9

Positivity conditions and bounds for Green's functions for higher order two-point BVP

Michael I. Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a linear nonautonomous higher order ordinary differential equation and establish the positivity conditions and two-sided bounds for Green's function for the two-point boundary value problem. Applications of the obtained results to nonlinear equations are also discussed.

Original language	English
Pages (from-to)	1156-1163
Number of pages	8
Journal	Central European Journal of Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.2478/s11533-011-0052-9
State	Published - 1 Oct 2011

Keywords

Boundary value problem
Green's function
Ordinary differential equation
Positivity
The Lidstone equation

ASJC Scopus subject areas

General Mathematics

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10.2478/s11533-011-0052-9

Cite this

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abstract = "We consider a linear nonautonomous higher order ordinary differential equation and establish the positivity conditions and two-sided bounds for Green's function for the two-point boundary value problem. Applications of the obtained results to nonlinear equations are also discussed.",

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KW - Ordinary differential equation

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KW - The Lidstone equation

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Positivity conditions and bounds for Green's functions for higher order two-point BVP

Abstract

Keywords

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