| 序Banach空间中一类算子方程的可解性 |
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| 引用本文： | 洪世煌,章春国,谢素英,何泽荣.序Banach空间中一类算子方程的可解性[J].数学学报,2007,50(4):823-830. |
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| 作者姓名： | 洪世煌 章春国 谢素英 何泽荣 |
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| 作者单位： | 杭州电子科技大学应用数学与工程计算研究所 杭州310018 |
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| 摘 要： | 利用改进的Mnch紧性条件,研究了一类算子方程Lx=Nx的解的存在性．本文结果并没有要求算子L和N的连续性．作为应用,讨论了右端项不连续的隐式椭圆偏微分方程的边值问题的解的存在性．
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| 关 键 词： | 序空间 算子方程 增算子 |
| 文章编号： | 0583-1431（2007）04-0823-08 |
| 收稿时间： | 2005-4-6 |
| 修稿时间： | 2005-04-06 |
Solvability of a Class of Operator Equations in Ordered Banach Spaces |
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| Shi Huang HONG, Chun Guo ZHANG ,Su Ying XIE ,Ze Rong HE.Solvability of a Class of Operator Equations in Ordered Banach Spaces[J].Acta Mathematica Sinica,2007,50(4):823-830. |
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| Authors: | Shi Huang HONG Chun Guo ZHANG Su Ying XIE Ze Rong HE |
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| Institution: | Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, P. R. China |
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| Abstract: | In this paper, we investigate the existence of solutions for a class of operator equations Lx = Nx by using an improved weak compactness condition of MSnch. Here neither L nor N needs to be continuous. We also give some applications to boundary value problems of implicit elliptic differential equations with discontinuous right hand side. |
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| Keywords: | ordered spaces operator equations increasing operators |
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