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Vietnam Journal of Mathematics 36:2(2008) 161-172 Connected Branches of Positive Solutions of Multi-point Boundary Value Problems Depending on Parameters Nguyen Thi Thanh Ha and I. A. Bahtin Abstract.  The aim of this paper is to apply the theory of positive operators to a multi-point boundary value problem depending on parameters. Namely, we establish conditions under which the positive solutions of this problem form a connected boundedly compact branch. 2000 Mathematics Subject Classification: 47J05, 47H07. Keywords: Multi-point boundary value problem, positive solutions, parameters, connected boundedly compact branch.

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