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Singular Problems: An Upper and Lower Solution Approach

✍ Scribed by Donal O'Regan; Ravi P Agarwal

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
159 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper presents an upper and lower solution theory for singular boundary value problems where the nonlinearity may be singular in the dependent variable. In addition our nonlinearity is allowed to change sign.

πŸ“œ SIMILAR VOLUMES

An upper and lower solution approach for
An upper and lower solution approach for singular boundary value problems with sign changing non-linearities
✍ Ravi P. Agarwal; Donal O'Regan πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## 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 Β© 2002 John W

A note on upper and lower solutions for
A note on upper and lower solutions for singular initial value problems
✍ Ravi P. Agarwal; Donal O'Regan πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 87 KB πŸ‘ 2 views

An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's "xed point theorem and the Arzela}Ascoli theorem.