| 极大单调算子和m增生映射值域的扰动定理及在非线性微分方程上的应用 |
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| 引用本文： | 魏利.极大单调算子和m增生映射值域的扰动定理及在非线性微分方程上的应用[J].数学的实践与认识,2006,36(4):232-239. |
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| 作者姓名： | 魏利 |
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| 作者单位： | 军械工程学院应用数学与力学研究所,河北,石家庄,050003;河北经贸大学数学与统计学学院应用数学教研室,河北,石家庄,050061 |
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| 摘 要： | 利用不动点定理,分别证明了在自反Banach空间中极大单调算子值域扰动的抽象结论和在H ilbert空间中m增生映射值域的扰动结果,这些结论是对以往一些工作的推广;然后,利用文中的新结论讨论了一类微分方程解的存在性.
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| 关 键 词： | 极大单调算子 紧映射 demi连续映射 增生映射 对偶映射 |
| 修稿时间： | 2004年10月16 |
The Perturbation Theories of Ranges for Maximal Monotone Operators and m - Accretive Mappings and their Applications to Nonlinear Differential Equation |
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| WEI Li.The Perturbation Theories of Ranges for Maximal Monotone Operators and m - Accretive Mappings and their Applications to Nonlinear Differential Equation[J].Mathematics in Practice and Theory,2006,36(4):232-239. |
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| Authors: | WEI Li |
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| Abstract: | By using the fixed point theorems, some abstract results on perturbations of ranges for maximal monotone operators in reflexive Banach space and for m-accretive mappings in Hilbert space which are improvement to some previous works are given.Later,the existence of the solution of one kinds of differential equations is discussed by using the new results given in this paper. |
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| Keywords: | Maximal monotone operator compact mapping demi-continuous mapping accretive mapping duality mapping |
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