| 含间断项的非线性Volterra型积分方程正解的唯一存在性 |
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| 引用本文： | 董卫. 含间断项的非线性Volterra型积分方程正解的唯一存在性[J]. 应用数学和力学, 1997, 18(12): 1111-1116 |
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| 作者姓名： | 董卫 |
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| 作者单位： | 华北水利水电学院基础部, 河北邯郸 056021 |
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| 摘 要： | 本文利用含间断项增算子不动点定理讨论了一类非线性Volterra型积分方程正解存在唯一性.在解存在性准则中取消了函数连续性限制,在较弱条件下得到了正解存在唯一性定理.
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| 关 键 词： | 正规锥 增算子 积分方程正解 |
| 收稿时间： | 1995-05-04 |
Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity |
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| Dong Wei. Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1111-1116 |
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| Authors: | Dong Wei |
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| Affiliation: | North China Institute of Water Conservancy and Hydro Power Handan, Hebei 056021, P. R. China |
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| Abstract: | In this paper, the fixed point theorem of increasing operator with noncontinuity is utilized to discuss the existence and uniqueness of positive solutionfor a class of non-linear Volterra integral equations. An important conditionof continuity can be replaced by weak condition. |
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| Keywords: | normal cone increasing operator positive solution for integral equation |
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