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| Banach空间中非线性混合型脉冲积微分方程的解 | |
| 引用本文： | 刘伟安.Banach空间中非线性混合型脉冲积微分方程的解[J].应用数学,1996,9(1):58-62. |
| 作者姓名： | 刘伟安 |
| 作者单位： | 武汉大学数学系 |
| 摘 要： | 本文讨论Ｂａｎａｃｈ空间中带定时脉冲的非线性混合型积微分方程，利用Ｄａｒｂｏ不动点定理与增算子不动点定理证明了解与最大解和最小解的存在性，得到了最大解和最小解的迭代公式． |
| 关 键 词： | 抽象脉冲微分方程 抽象积分微分方程 非紧测度 严格集压缩 最大解与最小解 |
Solutions of Nonlinear Integrodifferential Equations of Mixed Type with Impulses in Banach Spaces |
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| Liu Wei-an.Solutions of Nonlinear Integrodifferential Equations of Mixed Type with Impulses in Banach Spaces[J].Mathematica Applicata,1996,9(1):58-62. | |
| Authors: | Liu Wei-an |
| Abstract: | in this paper,we consider the nonlinear integrodifferential equations of mixed type with impulses in Banach space. The existence theorem and theorem of maximum and minimum solutions are proved. |
| Keywords: | Abstract impulsive differential equation Abstract integrodifferential equation Measure of noncompactness Strict set contraction Maximum and minimum solutions |
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