Multiple positive solutions for nonlinear third order general three-point boundary value problems

We consider the third order nonlinear three point boundary value problem, subject to the general boundary conditions where f : [ t 1 , t 3 ] × IR → IR is continuous, t 1 < t 2 < t 3 and α i 1 , α i 2 , α i 3 , i = 1, 2, 3, are real constants. We establish the existence of at least three positi...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 16; no. 1-2; pp. 63 - 75
Main Authors Prasad, K. R., Murali, P.
Format Journal Article
LanguageEnglish
Published India Springer-Verlag 01.04.2008
Subjects
Computer Science
Engineering
Mathematics
Mathematics and Statistics
39A99
Boundary value problem
Cone
34B99
Positive solution
Fixed point
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Summary:We consider the third order nonlinear three point boundary value problem, subject to the general boundary conditions where f : [ t 1 , t 3 ] × IR → IR is continuous, t 1 < t 2 < t 3 and α i 1 , α i 2 , α i 3 , i = 1, 2, 3, are real constants. We establish the existence of at least three positive solutions by using well-known Leggett-Williams fixed point theorem and an example is presented.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-008-0005-3