| 具有非线性边值条件的一阶Volterra型脉冲积分-微分方程 |
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| 引用本文： | 戚仕硕,王瑞. 具有非线性边值条件的一阶Volterra型脉冲积分-微分方程[J]. 郑州大学学报(理学版), 2008, 40(1): 1-7 |
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| 作者姓名： | 戚仕硕 王瑞 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450001
2. 河南农业大学信息与计算科学系,郑州,450002 |
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| 基金项目： | 国家自然科学基金 , 河南省高校青年骨干教师资助项目 |
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| 摘 要： | 对在反周期及非线性条件下的一阶Volterra型脉冲积分-微分方程进行了研究,通过构造特殊的上下解,得到了解的存在唯一性理论.
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| 关 键 词： | Volterra型脉冲积分-微分方程 反周期边值问题 非线性边值条件 impulsive Volterra-type integro-differential equation anti-periodic boundary value problem nonlinear boundary condition 非线性 边值条件 Volterra 脉冲积分 微分方程 Nonlinear Boundary Conditions Equations existence and uniqueness theorems upper and lower solutions established pair special impulsive equations nonlinear 唯一性理论 解的存在 上下解 构造 |
| 文章编号： | 1671-6841(2008)01-0001-07 |
| 修稿时间： | 2006-12-31 |
First-order Impulsive Volterra-type Integro-differential Equations with Nonlinear Boundary Conditions |
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| QI Shi-shuo,WANG Rui. First-order Impulsive Volterra-type Integro-differential Equations with Nonlinear Boundary Conditions[J]. Journal of Zhengzhou University(Natrual Science Edition), 2008, 40(1): 1-7 |
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| Authors: | QI Shi-shuo WANG Rui |
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| Abstract: | The first-order impulsive Volterra-type integro-differential equations with anti-periodic and nonlinear con-ditions are discussed,and the existence and uniqueness theorems for their solutions are also established by contruct-ing a pair of special upper and lower solutions. |
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| Keywords: | impulsive Volterra-type integro-differential equation anti-periodic boundary value problem nonlinear boundary condition |
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