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## The Boundary Value Problem for Discontinuous Nonlinear Second Order Differential Equations

Liu Yansheng Qi Jiangang (Dept. of Mathematics, Shandong Normal University,Jinan 250014)
Abstract In this paper, we are concerned the boundary value problem (BVP) for nonlinear differential equations with caratheodory function f(t,u,v). We obtained an existence result which removes the Lipschtiz condition in the third variable for f in by using the gereralized upper and lower solutions method. Meanwhile, we proved that there exist extremal solutions for BVP using the monotone iterative method. The main results in this paper improved and extended the corresponding results in and .
【Fund】： 山东省自然科学基金
【CateGory Index】： O175.14
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 【Co-references】
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