Existence results for second order boundary value problems using the barrier strip technique

Donal O'Regan

doi:10.1007/s00010-010-0019-0

Existence results for second order boundary value problems using the barrier strip technique

Donal O'Regan

Mathematics

Technical University of Sliven
University of Sofia
Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

Using barrier strip type arguments we investigate the existence of solutions of the boundary value problem x = f(t, x), t is an element of (0, 1), x(0) = A, x (1) = 0, where the scalar function f(t, x) may be singular at x = A.

Original language	English (Ireland)
Pages (from-to)	281-291
Number of pages	11
Journal	Aequationes Mathematicae
Volume	79
Issue number	3
DOIs	https://doi.org/10.1007/s00010-010-0019-0
Publication status	Published - 1 Jun 2010

Keywords

Boundary value problem
Positive solution
Second order differential equation
Sign conditions
Singularity

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Kelevedjiev, PS,O'Regan, D,Popivanov, N,Agarwal, RP

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10.1007/s00010-010-0019-0

Cite this

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abstract = "Using barrier strip type arguments we investigate the existence of solutions of the boundary value problem x = f(t, x), t is an element of (0, 1), x(0) = A, x (1) = 0, where the scalar function f(t, x) may be singular at x = A.",

keywords = "Boundary value problem, Positive solution, Second order differential equation, Sign conditions, Singularity",

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AB - Using barrier strip type arguments we investigate the existence of solutions of the boundary value problem x = f(t, x), t is an element of (0, 1), x(0) = A, x (1) = 0, where the scalar function f(t, x) may be singular at x = A.

KW - Boundary value problem

KW - Positive solution

KW - Second order differential equation

KW - Sign conditions

KW - Singularity

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U2 - 10.1007/s00010-010-0019-0

DO - 10.1007/s00010-010-0019-0

M3 - Article

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SP - 281

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JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

IS - 3

ER -

Existence results for second order boundary value problems using the barrier strip technique

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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