| 非线性积分微分方程广义解的存在性与唯一性 |
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| 引用本文： | 李宏涛. 非线性积分微分方程广义解的存在性与唯一性[J]. 陕西师范大学学报(自然科学版), 1990, 0(3) |
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| 作者姓名： | 李宏涛 |
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| 作者单位： | 宝鸡师范学院数学系 |
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| 摘 要： | 在可测向量函数空间讨论了形如x(t)=F(t,x(t),T_x(t)),x(t_0)=x_0的积分微分方程所描述的不连续系统广义解的存在性,建立了较一般的唯一性的定理。进而讨论了广义解对参数和扰动的连续依赖性,对算子T的不同性态给出了一些实用的结果。
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| 关 键 词： | 广义解 Garatheodory条件 本性有界 向量可测函数 |
On Nonlinear Integro-differential Equation Existence and Uniqueness of Generalized Solutions |
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| Li Hongtao. On Nonlinear Integro-differential Equation Existence and Uniqueness of Generalized Solutions[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1990, 0(3) |
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| Authors: | Li Hongtao |
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| Abstract: | The existence, the uniqueness and the continuous dependence of generalized solutions on parameters, for the following discontinuous nonlinear integrodifferential equation in essentially bounded measurable vector function space. x(t)=F(t,x(t), Tx(t)), x(t_0)=x_0. At the same time, we go further into the property of a different tpye in respect of the oporator T, getting some really functional results. |
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| Keywords: | generalized solutions Carathedory condition essentially bounded measurable vector function |
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