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《Journal of Qufu Normal University(Natural Science)》 2010-02
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Nonlinear Second order m-point Singular Boundary Value Problem in Banach spaces

TAN Jing-jing,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)  
In this paper,the existence of a class of m-point boundary value problem of the nonlinear second order singular differential equations containing first order derivative in Banach spaces is obtained,using the properties of non-compactness measure and Sadovskii fixed point theorem of the generalized condensing mapping.We first give some basic notations,then we define two new Banach spaces and fixed point operator.By proving A being continuous and bounded,and proving(AV)(t)1+t and(AV)′(t) being equally continuous,the existence results of boundary value problem(5) is obtained.
【Fund】: 山东省自然科学基金资助项目(ZR2009AL014)
【CateGory Index】: O175.8
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