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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

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【Author】 Yuan Chengjun 1,2 Wen Xiangdan 3 Jiang Daqing 11. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China 2. School of Mathematics and Computer, Harbin University, Harbin 150086, China 3. Department of Mathematics, Yanbian University, Yanji 133002, China

【机构】 School of Mathematics and Statistics, Northeast Normal University； School of Mathematics and Computer, Harbin University； Department of Mathematics, Yanbian University；

【摘要】 By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existence and uniqueness of positive solution to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular.更多还原

【Abstract】 By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existence and uniqueness of positive solution to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular.更多还原

【关键词】 Mixed monotone operator； fixed point theorem； boundary value problems； existence； uniqueness；
【Key words】 Mixed monotone operator； fixed point theorem； boundary value problems； existence； uniqueness；

【基金】 supported by Scientific Research Fund of Heilongjiang Provincial Education Department (11544032);the National Natural Science Foundation of China (10571021, 10701020)

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2011年01期

【分类号】O175.8
【被引频次】2
【下载频次】45

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