带导数项的非齐次边值问题正解的存在性  

Existence of Positive Solutions to Non-homogenousBoundary Value Problem with aDerivative Argument

作　　者：李和成[1] 

机构地区：[1]青海师范大学数学系,青海西宁810008

出　　处：《应用泛函分析学报》2002年第2期181-184,共4页Acta Analysis Functionalis Applicata

摘　　要：运用Schauder不动点定理讨论了带导数项的非齐次边值问题:u"+a(t)f(t,u,u')=0,0<t< 1,u(0)=0,u(1)=b>0.正解的存在性.其中:f关于u是超线性增长的.The existence of positive solutions has been discussed in the paper for the non-homogeneous boundary value problem with a derivative argument; u'+a(t)f(t,u,u') = 0, 0<t<1, a (0) = 0, u(1)=b>0. Where f is superlinear on u. Our approach is based on the Shauder fixed point theorem.

关 键 词：导数项 非齐次边值问题 正解 存在性 二阶边值问题 不动点 

分 类 号：O175.8[理学—数学]