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Positive solutions of a nonlinear three-point boundary value problem

โœ Scribed by Bing Liu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
447 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, by using the fixed-point index theorems, we study the existence of at least one or two positive solutions to the three-point bounda~'y value problem

= ~(~), where 0 < ~? < 1, 0 < fl < 1/7. As an application, we also give some examples to demonstrate our results. (~) 2002 Elsevier Science Ltd. All rights reserved. Keywords--Positive solution, Three-point boundary value problems, Cone, Fixed-point index. REMARK 2.1. In view of Lemma 3 of [10], if ~7] > 1, h ~ C[0, 1],~and h _> 0, then (2.1),(2.2) has no positive solution. Hence, in this paper, we ~sume that/~.~! < 1.

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