%0 Journal Article
%T A NECESSARV AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO A CLASS OF SINGULAR SECOND-ORDER BOUNDARV VALUE PROBLEMS
一类奇异二阶边值问题正解存在的充分必要条件
%A Zhao Cai HAO
%A An Min MAO
%A
郝兆才
%A 毛安民
%J 系统科学与数学
%D 2001
%I
%X This paper studies the C10, 1] positive solutions of a class of second-order boundary value problems u" a(t)f(u) b(t)g(u) = 0, u(0) - A necessary and sufficient condition for the existence of C1 0, 1] positive solutions is obtained under the condition that f and g are all superlinear (sublinear), or one is superlinear, the other is sublinear, which generalizes and includes some known results.
%K Singular BVP
%K cone
%K positive solution
%K necessary and sufficient condition
奇异边值问题
%K 锥
%K 正解
%K 充分必要条件.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=E2CF1A093E9BE297&yid=14E7EF987E4155E6&vid=659D3B06EBF534A7&iid=CA4FD0336C81A37A&sid=3A28587328C0C2C6&eid=8C83C265AD318E34&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=12&reference_num=13