%0 Journal Article
%T Analysis for Some Fourth Order Boundary Value Problems<br>一类四阶边值问题的分析
%A LI Xiao-Cong
%A JIANG Cheng-Shun
%A <br>李晓聪
%A 江成顺
%J 数学物理学报(A辑)
%D 2005
%I 
%X This paper is concerned with a class of fourth-order boundary value problems. By some classical analysis methods, such as, defining an auxiliary truncation function, and Schauder fixed point theory, the authors develop the method of upper and lower solutions. Secondly, with the first eigenfunction of homogeneous boundary value problems, they construct a specific upper solution, and at the same time, 0 is taken as the corresponding lower one, thus the existence theorem of positive solutions is proved under more general assumptions. The case, when f(x,y,z) is singular at y=0 is discussed in the end.
%K Upper and lower solutions
%K Schauder fixed point theorem
%K Singular<br>上解
%K 下解
%K Schauder不动点定理
%K 奇异性
%K 边值问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=04DB037795C6A37B&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=38DB5AF4AD8FDCCA&eid=547650636788ED84&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=15