| 具有非线性边值条件的二阶脉冲积微分方程的解 |
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| 引用本文： | 张海丽.具有非线性边值条件的二阶脉冲积微分方程的解[J].四川轻化工学院学报,2014(2):96-100. |
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| 作者姓名： | 张海丽 |
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| 作者单位： | 山西交通职业技术学院,太原030031 |
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| 基金项目： | 山西自然科学基金（2010011028） |
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| 摘 要： | 脉冲微分方程在理论方面已取得重大进展,应用极其广泛.文中介绍了上下解的定义、单调迭代方法并给出几个引理.最后用上下解方法和单调迭代技巧讨论了具有非线性边值条件的二阶脉冲积微分方程,得到了最大解和最小解的存在性.
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| 关 键 词： | 上下解 单调迭代 脉冲 积-微分方程 最大解和最小解 |
Solutions of Second-order Impulsive Integro-differential Equations with Nonlinear Boundary Value Conditions |
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| ZHANG Haili.Solutions of Second-order Impulsive Integro-differential Equations with Nonlinear Boundary Value Conditions[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2014(2):96-100. |
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| Authors: | ZHANG Haili |
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| Affiliation: | ZHANG Haili ( Shanxi Traffic Vocational and Technical College, Taiyuan 030031, China) |
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| Abstract: | Agreat progress in theory of impulsive differential equations has been made, which are widely applied. The definition of the upper and lower solutions and monotone iterative techniques are introduced and several lemmas are given. Finally, through discussing the second order impulsive integro-differential equation with nonlinear boundary value conditions by its upper and lower solutions and monotone iterative techniques, the existence of the maximal and minimal has been got. |
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| Keywords: | upper and lower solution monotone iterative impulsive integro-differential equations maximal and minimal solutions |
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