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Banach空间二阶周期边值问题的可解性 被引量：4

Solvability of second order periodic boundary value problems in Banach spaces
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摘要 利用非紧性测度的性质与凝聚场拓扑度理论,在一般Banach空间中,获得了二阶周期边值问题解的存在与唯一性结果. The existence problem of second order periodic boundary value problems in general Banach spaces is discussed. By using the theory of noncompactness measure and topological degree of condensing map, some existence and uniqueness results of these problems are obtained.
作者 刘喆
机构地区 西北师范大学数学与信息科学学院
出处 《西北师范大学学报（自然科学版）》 CAS 2008年第2期14-17,25,共5页 Journal of Northwest Normal University(Natural Science)
关键词 周期边值问题 非紧性测度 凝聚映射 凝聚场的拓扑度 periodic boundary value problem noncompactness measure condensing map topologicaldegree of condensing mapping
分类号 O175.15 [理学—基础数学]
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共引文献70

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引证文献4

西北师范大学学报（自然科学版）
2008年 第2期

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