The existence results for the three-point boundary value problems of second-order singular differential equation (φ(y'))' = q(x)f(x, y, y'), y(0) = A,y(η) - y(1) = (η 1)B, 0 <η < 1, are presente...The existence results for the three-point boundary value problems of second-order singular differential equation (φ(y'))' = q(x)f(x, y, y'), y(0) = A,y(η) - y(1) = (η 1)B, 0 <η < 1, are presented. The special case when φ(s) = |s|p-2 s,p > 1 is also considered. Our analysis is based on the nonlinear alternative of Leray-Schauder and barrier strips.展开更多
基金the National Science Function of China (19971037)
文摘The existence results for the three-point boundary value problems of second-order singular differential equation (φ(y'))' = q(x)f(x, y, y'), y(0) = A,y(η) - y(1) = (η 1)B, 0 <η < 1, are presented. The special case when φ(s) = |s|p-2 s,p > 1 is also considered. Our analysis is based on the nonlinear alternative of Leray-Schauder and barrier strips.
