广义Gelfand模型的正解

POSITIVE SOLUTIONS FOR GENERALIZED GELFAND MODELS

在不要求极限 liml→ 0f( l)l ,liml→∞f( l)l 存在的情况下 ,讨论了二阶边值问题u″( t) +λh( t) f( u( t) ) =0 ,0≤ t≤ 1 ,u( 0 ) =u( 1 )

In this paper the argument for obtaining existence and multiplicity of positive solutions for generalized Gelfend models is discussed:u″(t)+λh(t)f(u(t))=0,0<t<1,u(0)=u(1)=0,while lim l→0f(l)l and lim l→∞f(l)l are not required to exist.