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一类含间断项的二阶三点边值问题解的存在性
引用本文:杜燕,刘笑颖,刘彤新,谢志林.一类含间断项的二阶三点边值问题解的存在性[J].徐州师范大学学报(自然科学版),2008,26(3):38-42.
作者姓名:杜燕  刘笑颖  刘彤新  谢志林
作者单位:徐州师范大学,数学科学学院,江苏,徐州,221116
摘    要:利用上下解方法,证明了一类含间断项的二阶三点边值问题最大连续解和最小连续解的存在性,并完善和证明了已有的某些结果.

关 键 词:三点边值问题  增算子  不动点  相对弱紧

Existence of Solution for a Class of Two-order Three-point Boundary Value Problems with Discontinuous Terms
DU Yan,LIU Xiao-ying,LIU Tong-xin,XIE Zhi-lin.Existence of Solution for a Class of Two-order Three-point Boundary Value Problems with Discontinuous Terms[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(3):38-42.
Authors:DU Yan  LIU Xiao-ying  LIU Tong-xin  XIE Zhi-lin
Institution:(School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China)
Abstract:By using the upper and lower solution method, the existence of maximal and minimal coutinuous solutions for a class of two-order three-point boundary value problems with discontinuous terms is proved, and some well-known results are improved and proved .
Keywords:three-point boundary value problem  increasing operator  fixed point  relatively weakly compact
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