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    Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals

    Access Status
    Open access via publisher
    Authors
    Liu, B.
    Li, J.
    Liu, Lishan
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Liu, B. and Li, J. and Liu, L. 2012. Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals. Computers and Mathematics with Applications. 64 (6): pp. 1677-1690.
    Source Title
    Computers and Mathematics with Applications
    DOI
    10.1016/j.camwa.2012.01.023
    ISSN
    0898-1221
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52745
    Collection
    • Curtin Research Publications
    Abstract

    This paper investigates an m-point boundary value problem with nonlinear boundary conditions at resonance on infinite intervals. By establishing a general continuation theorem, the existence and uniqueness of unbounded solutions is obtained on the basis of a suitable homotopy, Leray-Schauder degree properties and a priori estimate. This paper provides a new method to solve boundary value problems with nonlinear boundary conditions at resonance on infinite intervals. © 2012 Elsevier Ltd. All rights reserved.

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