一类奇异非线性边值问题的正解  

Positive solutions for some singular nonlinear boundary value problems

作　　者：张淑琴[1] 

机构地区：[1]西北师范大学数学系

出　　处：《西北师范大学学报（自然科学版）》1999年第3期22-28,共7页Journal of Northwest Normal University(Natural Science)

摘　　要：通过构造适当的逼近序列获得了奇异方程ｕ（４）（ｔ）＝ｆ（ｔ，ｕ。By constructing a suitable approximating sequence,the existence theorem of the positive solutions is given for singular differential equation u (4) (t)= f(t,u(t),u″(t)) ,0<t<1, satisfying the boundary value conditions u(0)=u″(0)=u(1)=u″(1)=0.

关 键 词：奇异边问题 不动点定理 正解 存在性 非线性 

分 类 号：O175.8[理学—数学]