Positive solutions to a semilinear higher-order ODE on the half-line

Michael I. Gil'

Positive solutions to a semilinear higher-order ODE on the half-line

Department of Mathematics

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

Abstract

We study a semilinear non-autonomous ordinary differential equation (ODE) of order n. Explicit conditions for the existence of n linearly independent and positive solutions on the positive half-line are obtained. Also we establish lower solution estimates.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Electronic Journal of Differential Equations
Volume	2005
State	Published - 6 Mar 2005

Keywords

Nonlinear equations
Ordinary differential equations
Positive solutions on the half-line

ASJC Scopus subject areas

Analysis

Cite this

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abstract = "We study a semilinear non-autonomous ordinary differential equation (ODE) of order n. Explicit conditions for the existence of n linearly independent and positive solutions on the positive half-line are obtained. Also we establish lower solution estimates.",

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KW - Ordinary differential equations

KW - Positive solutions on the half-line

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Positive solutions to a semilinear higher-order ODE on the half-line

Abstract

Keywords

ASJC Scopus subject areas

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