| 一类带有单调型算子紧扰动的半线性方程的可解性 |
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| 引用本文： | 周海云.一类带有单调型算子紧扰动的半线性方程的可解性[J].系统科学与数学,1999,19(4):396-402. |
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| 作者姓名： | 周海云 |
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| 作者单位： | 军械工程学院应用数学和力学研究所!石家庄０５０００３ |
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| 摘 要： | 本文在算子单调性和紧性假设下研究了一类半线性算子方程Ａｕ－Ｔｕ＋Ｃｕｆ的可解性，其中Ａ，Ｔ和Ｃ映实自反Ｂａｎａｃｈ空间Ｘ中的闭凸子集到它的对偶空间Ｘ＊．我们的结果扩展或改进了Ｇｕａｎ［１］最近宣布的全部结果．
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| 关 键 词： | 半线性算子方程 单调型算子 紧扰动 |
ON THE SOLVABILITY OF SEMILINEAR EQUATIONS INVOLVING COMPACT PERTURBATIONS OF OPERAORS OF MONOTONE TYPE |
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| Hai Yun ZHOU.ON THE SOLVABILITY OF SEMILINEAR EQUATIONS INVOLVING COMPACT PERTURBATIONS OF OPERAORS OF MONOTONE TYPE[J].Journal of Systems Science and Mathematical Sciences,1999,19(4):396-402. |
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| Authors: | Hai Yun ZHOU |
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| Institution: | Institute of Applied Mathematics and Mechanistic, Ordnance Engineering College,Shijiazhuang 050003,P.R.China |
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| Abstract: | in the present paper we obtain the solvability of the equation Au-Tu Cufunder various assumptions of monotonicity and compactness on the operators A, T, and C whichmap closed convex subsets of a reflexive Banach space X into its dual space. The results extendand improve the recent ones obtained by Guan~1]. |
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| Keywords: | Semilinear operator equation operator of monotone type compact perturbation solvability of the equation |
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