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系统科学与数学 2010
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR SECOND ORDER SINGULAR DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
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Abstract:
By applying upper and lower solutions method together with maximal principle, the existence and uniqueness of positive solutions for a class of second order singular differential equations with integral boundary value problems are investigated. Sufficient conditions for the existences and uniqueness of $C0,1]$ positive solution as well as $C^10,1]$ are given. The nonlinearity $f(t,x)$ may be singular at $t=0,1$ and $x=0$.