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    Positive solutions for singular second order differential equations with integral boundary conditions

    Access Status
    Open access via publisher
    Authors
    Liu, Lishan
    Hao, Xinan
    Wu, Yong Hong
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Liu, Lishan and Hao, Xinan and Wu, Yonghong. 2013. Positive solutions for singular second order differential equations with integral boundary conditions. Mathematical and Computer Modelling. 57: pp. 836-847.
    Source Title
    Mathematical and Computer Modelling
    DOI
    10.1016/j.mcm.2012.09.012
    ISSN
    0895-7177
    URI
    http://hdl.handle.net/20.500.11937/5046
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study the existence of positive solutions for the singular second order integral boundary value problem [unable to display problem], where c(t) is allowed to be singular at t=0,1 and f(u) may be singular at u=0. The existence of positive solutions for the above problem is established by applying the fixed point index theorems under some weaker conditions concerning the first eigenvalue corresponding to the relevant linear operator. The results obtained herein generalize and improve some known results including singular and non-singular cases.

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