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

作　　者：苑成军 文香丹 蒋达清 

机构地区：[1]School of Mathematics and Statistics, Northeast Normal University [2]School of Mathematics and Computer, Harbin University [3]Department of Mathematics, Yanbian University

出　　处：《Acta Mathematica Scientia》2011年第1期281-291,共11页数学物理学报（B辑英文版）

基　　金：supported by Scientific Research Fund of Heilongjiang Provincial Education Department (11544032);the National Natural Science Foundation of China (10571021, 10701020)

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.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.

关 键 词：Mixed monotone operator fixed point theorem boundary value problems existence UNIQUENESS 

分 类 号：O175.8[理学—数学]