ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS  

作　　者：章梅荣[1] 韩云瑞[1] 

机构地区：[1]清华大学,100084

出　　处：《Annals of Differential Equations》1997年第2期189-207,共19页微分方程年刊（英文版）

摘　　要：In this paper, we propose that the Green functions are benefit to obtainingthe necessary estimates in the applications of Leray-Schauder degree to boundaryvalue problems of nonlinear differential equations. As an example, a three pointboundary value problem of second order differential equations is considered inthis paper and all of the results obtained by the Wirtinger type inequalities anddifferential inclusions in Gupta [5] and Marano [11] will be improved.In this paper, we propose that the Green functions are benefit to obtainingthe necessary estimates in the applications of Leray-Schauder degree to boundaryvalue problems of nonlinear differential equations. As an example, a three pointboundary value problem of second order differential equations is considered inthis paper and all of the results obtained by the Wirtinger type inequalities anddifferential inclusions in Gupta [5] and Marano [11] will be improved.

关 键 词：Boundary value problem nonlinear differential equation Leray-Schauder degree Green function 

分 类 号：O175.8[理学—数学]