非线性多点边值问题的可解性

SOLVABILITY OF NONLINEAR MULTIPOINT BOUNDARYVALUE PROBLEMA

得到了一个非线性多点边值问题ｘ＂＝ｆ（ｔ，ｘ，ｘ＇）＋ｅ（ｔ），ｘ＇（０）＝０，ｘ（１）＝－ａ１ｘ（ｉ）＋ｂｊｘ（ｊ）解的存在性定理，其中１＋ａｉ≠ｂｊ．该结果推广和改进了马如云１９９７年的结果。

Abstract An existence theorem for the nonlinear multipoint boundary value problems x'=f(t, x, x')+ e(t),x'(0)=0,x(1)=- a1x( i)+ bjx( j)where 1+ ai≠ bj is presented. It is an extension and improvement of the corresponding one