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Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach

✍ Scribed by R.P. Agarwal; Donal O'Regan; V. Lakshmikantham; S. Leela

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
87 KB
Volume
50
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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.

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