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Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions

✍ Scribed by Bao Qiang Yan; Donal O’regan; Ravi P. Agarwal


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
179 KB
Volume
23
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES


An upper and lower solution approach for
✍ Ravi P. Agarwal; Donal O'Regan 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 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 © 2002 John W

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In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line where ϕ : R → R is the increasing homeomorphism and positive homomorphism an