| 关于m-增生算子的扰动方程可解性的几个问题 |
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| 引用本文： | 王晓敏.关于m-增生算子的扰动方程可解性的几个问题[J].河北大学学报(自然科学版),1990(4). |
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| 作者姓名： | 王晓敏 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 设Z为-Banach空间,T、C为两个定义、取值均在Z内的算子,本文讨论算子方程 Tx+Cx=f (E) 解的存在性,其中f∈Z所运用的主要方法一是在具有紧予解(T+αI)~(-1)的假定下,运用度理论解(E)的等价方程。其中I为恒等变换,α为一正常数,二是考察逼近问题解的存在性, 本文的结果改进和推广了Kartsatos4,5]中的某些结果
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| 关 键 词： | m-增生算子 紧算子 一致凸 |
Several Results for the Solvability of perturbation Equations of M-Accrctivc Operators |
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| Wang Xiao Min.Several Results for the Solvability of perturbation Equations of M-Accrctivc Operators[J].Journal of Hebei University (Natural Science Edition),1990(4). |
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| Authors: | Wang Xiao Min |
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| Institution: | Department of Mathematics |
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| Abstract: | Let Z be a Banach space and T:Z Z, C:Z Z two nonlicar operators. In this paper we discuss the solvability of Tx+Cx = (E) for f ∈ Z.
One of the methods employed is to solve an equivalent equation of (E): u-α(T+αI)-1u+C(T+αI)-1u = f by method of degree and the other is to solve the approximate equation Tx 4- Cx + 1/n x = f.
Our results generalise and improve some results of Kartsatos 4]. 5]. |
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| Keywords: | m-accretive compact uniformly convex |
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