# Construction of upper and lower solutions with applications to singular boundary value problems

## Abstract

An upper and lower solution theory is presented for the Dirichlet boundary value problem $$y^{\prime\prime}+f(t,y,y^{\prime})=0$$, $$0<t <1$$ with $$y(0)=y(1)=0$$. Our nonlinearity may be singular in its dependent variable and is allowed to change sign.

## Authors

R.P. Agarwal
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D. O’Regan
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Babes-Bolyai University, Cluj-Napoca, Romania

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## Paper coordinates

R.P. Agarwal, D.O. Regan, R. Precup, Construction of upper and lower solutions with applications to singular boundary value problems,  J. Comput. Anal. Appl. 7 (2005), 205-221.

## PDF

##### Journal

J. Comput. Anal. Appl.

##### Publisher Name

EUDOXUS PRESS, LLC

##### Online ISSN

MR2223477, Zbl 1085.34016