%0 Journal Article
%T Existence of Solution for General Lidstone Boundary Value Problems
一般Lidstone边值问题的解的存在性
%A YAO Qing-Liu
%A
姚庆六
%J 数学物理学报(A辑)
%D 2005
%I
%X The existence of general Lidstone boundary value problems with all order derivatives is considered. By making use of Leray-Schauder fixed point theorem, equivalent norm and the techniques of system on integral equations, two existence theorems of solutions and positive solutions are proved.These theorems are very convenient for the applications. In other words, the existence can be determined by considering the "height" of nonlinear term on a bounded set.
%K Higher order differential equationszz
%K Nonlinear Lidstone boundary value problem
%K Solution and positive solutionzz
%K Existencezz
高阶微分方程
%K 非线性Lidstone边值问题
%K 解和正解
%K 存在性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=567DF8CFDF633B637B70B2DA7652E9A8&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=DF92D298D3FF1E6E&sid=F0CB1CC137DFCF2D&eid=BCE65990EF9348F5&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=16