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Banach空间中广义常微分方程的Φ有界变差解 被引量：1

Bounded Φ-variation solutions of generalized ordinary differential equations in Banach space
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摘要 利用Φ有界变差函数理论与Banach不动点定理,建立了Banach空间中广义常微分方程的Φ有界变差解的存在唯一性定理,并给出这类方程在脉冲微分系统中的应用. The existence and uniqueness theorems of the bounded Φ-variation solution of generalized ordinary differential equations in Banach spaces are established by using the bounded Φ-variation function theory and Banach fixed-point theorem.An example is given to show this class of equation in the application of impulsive differential system.
作者 李宝麟 苟海德
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 北大核心 2012年第2期6-10,共5页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(11061031) 西北师范大学科技创新工程资助项目
关键词 Kurzweil积分 BANACH空间 广义常微分方程 Φ有界变差解 Kurzweil integral Banach space generalized ordinary differential equation bounded Φ-variation solution
分类号 O175.12 [理学—基础数学]
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参考文献10

  • 1KURZWEIL J. Generalized ordinary differential equations and continuous dependence on a parameter [J]. CzechMath J, 1957, 7: 418-449.
  • 2AFONSO S, BONOTTO E M, SCHWABIK S. Discontinuous local semi-flows for Kurzweil equations leading to LaSalle's invariance principle for non- autonomous systems with impulses [ J ]. J Differential Equations, 2011, 250: 2969-3001.
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  • 9李宝麟,吴从炘.Kurzweil方程的Φ-有界变差解[J].数学学报（中文版）,2003,46(3):561-570. 被引量：23
  • 10李宝麟,梁雪峰.一类脉冲微分系统的Φ-有界变差解[J].西北师范大学学报（自然科学版）,2007,43(4):1-5. 被引量：9

二级参考文献24

  • 1Kurzweil J., Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J., 1957, 7: 418-449.
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  • 10Musielak J.. Orliez W.. On generalized variations (I). Studia Math., 1959, 18: 11-41.

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西北师范大学学报（自然科学版）
2012年 第2期

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