POSITIVE SOLUTIONS OF A FOURTH ORDER BOUNDARY VALUE PROBLEM  

作　　者：Ren LishunDept. of Math., Zhoukou Teachers College, Henan 466000,China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2003年第2期138-142,共5页高校应用数学学报（英文版）（B辑）

摘　　要：The existence of positive solutions of the nonlinear fourth order problemu (4)(x)=λa(x)f(u(x)), u(0)=u′(0)=u′(1)=u(1)=0is studied, where a:[0,1]→R may change sign, f(0)>0,λ>0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.The existence of positive solutions of the nonlinear fourth order problemu (4)(x)=λa(x)f(u(x)), u(0)=u′(0)=u′(1)=u(1)=0is studied, where a:[0,1]→R may change sign, f(0)>0,λ>0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.

关 键 词：fourth-order boundary value problem positive solution Leray-Schauder fixed point theorem. 

分 类 号：O175[理学—数学]