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抽象一阶周期边值问题解的存在性
引用本文:李永祥.抽象一阶周期边值问题解的存在性[J].西北师范大学学报,1998,34(4):1-5.
作者姓名:李永祥
作者单位:西北师范大学数学系
摘    要:研究了有序Banach空间中一阶周期边值问题解的存在性,在上、下解不满足文献1、2要求的边界条件下,利用凸锥理论与单调方法,获得了解的存在性结果.

关 键 词:周期边值问题  正规锥  增算子

Existence of solutions for abstract first order periodic boundary value problems
Li Yongxiang.Existence of solutions for abstract first order periodic boundary value problems[J].Journal of Northwest Normal University Natural Science (Bimonthly),1998,34(4):1-5.
Authors:Li Yongxiang
Abstract:The author discusses the existence of solutions for first order periodic boundary value problems in ordered Banach spaces.When the lower and upper solutions do not satisfy the boundary conditions in references 1 and 2,the existence results of solutions by using convex cone theory and monotone method are also obtained.
Keywords:periodic boundary value problem  normal cone  increasing operator
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