| Banach空间非线性脉冲Volterra积分方程组的整体解 |
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| 引用本文： | 陈芳启,陈予恕. Banach空间非线性脉冲Volterra积分方程组的整体解[J]. 应用数学和力学, 2001, 22(6): 551-560 |
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| 作者姓名： | 陈芳启 陈予恕 |
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| 作者单位： | 1.天津大学数学系, 天津300072; |
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| 基金项目： | 国家自然科学基金资助重大项目(19990510)；国家教委博士点专项基金资助项目(D09901) |
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| 摘 要： | 研究Banach空间中定义在无穷区间R+上具有无穷多个脉冲点的非线性脉冲Volterra积分方程组解的存在性。给出了若干极值解的存在定理,改进了定义在有限区间上具有有限个脉冲点情形时该类方程的相应结果,并利用该结果讨论了一个无穷维积分方程组。
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| 关 键 词： | 脉冲Volterra积分方程组 Tonelli方法 极值解 锥和半序 |
| 文章编号： | 1000-0887(2001)06-0551-10 |
| 收稿时间： | 1999-11-01 |
| 修稿时间： | 1999-11-01 |
Global Solutions ofSystems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces |
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| CHEN Fang_qi ,,CHEN Yu_shu. Global Solutions ofSystems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(6): 551-560 |
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| Authors: | CHEN Fang_qi CHEN Yu_shu |
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| Affiliation: | 1.Department of Mathematics, Tianjin University, Tianjin 300072, P R China;2.Department of Mechanics, Tianjin University, Tianjin 300072, P R China |
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| Abstract: | The existence of solutions for systems o f nonlinear impulsive Volterra integral equations on the infinite interval R ＋ with an infinite number of moments of impulse effect in Banach spaces is st udied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a fini te number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations. |
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| Keywords: | system of impulsive Volterra integral equations Tonelli's method extremal solutions cone and partial ordering |
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