| Banach空间中非线性脉冲Volterra型积分方程组的可解性 |
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| 引用本文： | 张晓燕. Banach空间中非线性脉冲Volterra型积分方程组的可解性[J]. 应用泛函分析学报, 2004, 6(1): 65-72 |
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| 作者姓名： | 张晓燕 |
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| 作者单位： | 山东大学数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金(10371066)，山东省自然科学基金(Z2000A02) |
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| 摘 要： | 在较弱的条件下，利用锥理论和单调迭代方法首先建立了Banach空间中一类非线性算子方程组最小最大解的存在性定理；然后作为应用，利用一个新的比较结果，得到了Banach空间中非线性脉冲Volterra型积分方程组的整体解，改进了最近的许多结果．
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| 关 键 词： | Banach空间 脉冲Volterra型积分方程组 锥 算子方程组 序半连续 |
| 文章编号： | 1009-1327(2004)01-0065-08 |
| 修稿时间： | 2002-06-13 |
On the Solvability of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces |
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| Abstract: | By using the cone theory and monotone iterative technique, an existence theorem of minimal and maximal solutions for a class of systems of nonlinear operator equations in ordered Banach spaces under weaker conditions is established. And then, as an application, the global solutions of systems of nonlinear impulsive Volterra integral equaitons by use of a new comparison result are obtained. The results presented here improve many recent results. |
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| Keywords: | cone systems of operator equations ordered semi-continuous systems of impulsive Volterra integral equations |
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