| 非线性Lipschitz算子的f-M谱理论 |
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| 引用本文： | 袁国常,石久宁. 非线性Lipschitz算子的f-M谱理论[J]. 三峡大学学报(自然科学版), 2007, 29(3): 279-283 |
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| 作者姓名： | 袁国常 石久宁 |
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| 作者单位： | 湖北三峡科技学校,基础部,湖北,宜昌,443100 |
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| 摘 要： | 引入非线性Lipschitz算子的f-M谱概念,建立了相关理论.作为例证,对以下问题作了肯定回答:设A及Ap为文献[1]中所述算子,当Ap满足文献[1]中定理3的条件时,该定理所得C0-Lipschitz半群{T(t)}以A为生成元.
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| 关 键 词： | 非线性Lipschitz算子 f-M谱 f-M广义导算子 |
| 文章编号： | 1672-948X（2007）03-0279-05 |
| 修稿时间： | 2006-09-27 |
f-M Spectral Theory of Nonlinear Lipschitz Operators |
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| Yuan Guochang,Shi Jiuning. f-M Spectral Theory of Nonlinear Lipschitz Operators[J]. Journal of China Three Gorges University(Natural Sciences), 2007, 29(3): 279-283 |
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| Authors: | Yuan Guochang Shi Jiuning |
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| Abstract: | We introduce the notion of f-M spectral theory for the nonlinear Lipschitz operators,and give relative theory.As example,we give a sure answer for the problem: Supposing A and Ap are the operators as ,then the A is the generator of C0-Lipschitz semi-group {T(t)} which is obtained in the Theorem 3 in [8] when Ap satisfies the conditions in this theorem. |
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| Keywords: | nonlinear Lipschitz operator f-M spectra f-M generalized derivative operator |
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