一类非线性二阶多点边值问题多个正解的存在性研究  

On existence of positive solutions to problem of one non-linear second order multipoint boundary value

作　　者：刘洪运[1] 

机构地区：[1]河南师范大学

出　　处：《海军工程大学学报》2008年第4期12-15,共4页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(60572001)

摘　　要：通过定义适当的锥,运用锥映射的不动点定理,结合上下解方法,给出了二阶多点边值问题多个正解存在性的判定方法.作为特例,获得了三点边值问题多个正解存在性的判定依据,从而推广了相关文献中关于二阶三点边值问题正解存在性的结果。The employment of supersolution and subsolution,the definition of fixed cone and the application of the fixed point theorem of cone mapping result in some methods to the existence of positive solutions to second order multipoint boundary value, and generalize the results of positive solution for second-order three-point boundary value problem in relative literature.

关 键 词：多点边值问题 锥映射 不动点定理 多个正解存在性 

分 类 号：O175.15[理学—数学]