SOME EXISTENCE RESULTS OF SEMILINEAR SINGULARLY PERTURBED NONLOCAL BOUNDARY VALUE PROBLEMS

By standard barrier solution method associated with Schauder fixed point theorem, we establish an existence theory for nonlinear second order nonlinear multi-point boundary value problem (1.3), (1.4). Through the pervious existence theorem, we mainly work out some asymptotic behaviors of solutions f...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 18; no. 4; pp. 1071 - 1087
Main Author Wang, Sheng-Ping
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.08.2014
Subjects
Boundary conditions
Boundary layers
Boundary value problems
Existence theorems
Mathematical functions
Sufficient conditions
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Summary:By standard barrier solution method associated with Schauder fixed point theorem, we establish an existence theory for nonlinear second order nonlinear multi-point boundary value problem (1.3), (1.4). Through the pervious existence theorem, we mainly work out some asymptotic behaviors of solutions for semilinear singularly perturbed three-point boundary value problem (1.1), (1.2). Barrier solutions will be constructed explicitly when the boundary or interior layers occur, respectively. 2010Mathematics Subject Classification: 34B15, 34B16, 34E20. Key words and phrases: Singular perturbation, Barrier solutions, Boundary layer, Interior layer, Multipoint boundary value problem.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.18.2014.2860