Two sided bounds and positivity conditions for the Green function to periodic problem for a higher order ODE

M. I. Gil'

doi:10.1504/IJDSDE.2009.031105

Two sided bounds and positivity conditions for the Green function to periodic problem for a higher order ODE

M. I. Gil'

Department of Mathematics

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

3 Scopus citations

Abstract

In the present paper we establish the positivity conditions and two-sided bounds for the Green function to the periodic problem for a nonautonomous higher order ordinary differential equation (ODE). These results enable us to formulate the positivity conditions for solutions to nonlinear equations.

Original language	English
Pages (from-to)	253-261
Number of pages	9
Journal	International Journal of Dynamical Systems and Differential Equations
Volume	2
Issue number	3-4
DOIs	https://doi.org/10.1504/IJDSDE.2009.031105
State	Published - 1 Jan 2009

Keywords

Green's function
ODE
Ordinary differential equation
Periodic problem
Positivity

ASJC Scopus subject areas

General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization

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10.1504/IJDSDE.2009.031105

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title = "Two sided bounds and positivity conditions for the Green function to periodic problem for a higher order ODE",

abstract = "In the present paper we establish the positivity conditions and two-sided bounds for the Green function to the periodic problem for a nonautonomous higher order ordinary differential equation (ODE). These results enable us to formulate the positivity conditions for solutions to nonlinear equations.",

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year = "2009",

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AB - In the present paper we establish the positivity conditions and two-sided bounds for the Green function to the periodic problem for a nonautonomous higher order ordinary differential equation (ODE). These results enable us to formulate the positivity conditions for solutions to nonlinear equations.

KW - Green's function

KW - ODE

KW - Ordinary differential equation

KW - Periodic problem

KW - Positivity

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JF - International Journal of Dynamical Systems and Differential Equations

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Two sided bounds and positivity conditions for the Green function to periodic problem for a higher order ODE

Abstract

Keywords

ASJC Scopus subject areas

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