Existence and nonexistence of positive solutions for nonlinear three-point boundary-value problems

Yuji Liu; Weigao Ge

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Title

Existence and nonexistence of positive solutions for nonlinear three-point boundary-value problems

Authors

Year of publication

2004

Published in

Fasciculi Mathematici

Journal year: 2004 | Journal number: nr 34

Article type

scientific article

Publication language

english

Keywords

EN

boundary value problem
positive solution
cone
Green function
fixed point

Abstract

EN The authors study the existence and nonexistence of positive solutions to the three point boundary-values problem where 0 < Mi < 1 and Beta > 0, a > 0, A > 0. Different conditions for the problem (E) - (B) to hve at least one or two positive solutions and sufficient conditions for this problem to have no positive solutions are given, by applying a new Green's function of three point value problem.

Pages (from - to)

157 - 167

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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