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OALib Journal期刊
ISSN: 2333-9721
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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR SECOND ORDER SINGULAR DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
奇异二阶微分方程积分边值问题正解的存在唯一性

Keywords: Singular equation,integral boundary-value problem,lower and upper solution,positive solution
奇异方程
,积分边值问题,上下解,正解.

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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 $x=0$.

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