拟线性第二边值问题的一个附注  

A note on the pseudolinear second boundary value problem

作　　者：库连喜[1] 廖小勇[1] 库在强[1] 

机构地区：[1]黄冈师范学院数学系,湖北黄州438000

出　　处：《黄冈师范学院学报》2000年第3期17-19,26,共4页Journal of Huanggang Normal University

基　　金：湖北省教委重点科研项目资助课题 !992 51

摘　　要：在 f (t,x) ,β(t) ,fx(t,x) ,α′(t)连续 ,fx(t,x)≥ -β(t) ,4β(t)≤π2 +α2 (t) - 2α′(t) ,4β(t) π2+α2 (t) - 2 α′(t)等主要条件下 ,证明了拟线性第二边值问题x″=α(t) x′+f(t,x) ,x(0 ) =a,x′(1 )Under the main conditions that f(t,x),f x(t,x),α′(t),β(t) are all continuous and f x(t,x)≥-β(t),4β≤π 2+α 2(t)-2α′(t) and 4β(t)π 2+α 2(t)-2α′(t) , we studied pseudolinear second boundary value problem x″=α(t)x′+f(t,x),x(0)=a,x′(1)=b, the solution of which is existence uniqueness.

关 键 词：拟线性 边值问题 存在性 唯一性 

分 类 号：O175.1[理学—数学]