带有变号非线性项的四阶多点边值问题正解的存在性  

Positive Solutions for Fourth-order Multi-point Boundary Value Problem with Sign Changing Nonlinearity

作　　者：李东[1] 方秀男[1] 赵宇[1] 周波[1] 

机构地区：[1]佳木斯大学理学院数学系,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2009年第6期916-919,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：佳木斯大学科研项目L2008-058)

摘　　要：应用拓扑度理论及下解的方法,讨论了带有变号非线性项的四阶多点边值问题正解的存在性.所得结果拓展了前人的结果.The existence of positive solutions for the furthorder multi-point boundary value problem with sign changing nonlinearity was investigated by the method of lower solution and topology degree theorem.The result complemented and extended previously known ones.

关 键 词：拓扑度理论及下解的方法 正解 多点 变号 

分 类 号：O175.8[理学—数学]