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

【Abstract】 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.更多还原