| Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解 |
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| 引用本文： | 谢胜利. Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解[J]. 数学杂志, 2004, 24(2): 139-144 |
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| 作者姓名： | 谢胜利 |
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| 作者单位： | 安徽宿州师范专科学校数学系,安徽,宿州,234000 |
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| 基金项目： | SupportedbyScienceFoundationofAnhuiProvince (2 0 0 0 jl2 36 ) |
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| 摘 要： | 本文利用单调迭代技巧 ,锥理论和比较定理获得了Banach空间中二阶非线性脉冲微分方程的Sturm Liouville边值问题的极解
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| 关 键 词： | 脉冲微分方程 Sturm-Liouville边值问题 锥 单调迭代技巧 最小解和最大解 |
EXTEREMAL SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Abstract. EXTEREMAL SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Journal of Mathematics, 2004, 24(2): 139-144 |
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| Authors: | Abstract |
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| Abstract: | In this paper, by use of the monotone iterative technique, cone theory and comparision theorem, we obtain the extremal solutions of Sturm|Liouville boundary value problems for nonlinear second order impulisive differential equations in Banach spaces. |
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| Keywords: | impulsive differential equation Sturm|Liouville boundary value problem cone monotone iterative technique minimal and maximal solutions |
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