An upper and lower solution approach for singular boundary value problems with sign changing non-linearities

Corresponding Author

Ravi P. Agarwal

Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore===Search for more papers by this author

Donal O'Regan,

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

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Ravi P. Agarwal,

Corresponding Author

Ravi P. Agarwal

Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore===Search for more papers by this author

Donal O'Regan,

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

Search for more papers by this author

First published: 22 March 2002

https://doi.org/10.1002/mma.300

Citations: 4

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Abstract

We obtain via Schauder's fixed point theorem new results for singular second-order boundary value problems where our non-linear term f(t,y,z) is allowed to change sign. In particular, our problem may be singular at y=0, t=0 and/or t=1. Copyright © 2002 John Wiley & Sons, Ltd.

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Volume25, Issue6

April 2002

Pages 491-506

An upper and lower solution approach for singular boundary value problems with sign changing non-linearities

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An upper and lower solution approach for singular boundary value problems with sign changing non-linearities

Abstract

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