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带紧扰动的增生算子的特征值问题 被引量：2

ON THE EIGENVALUE PROBLEM FOR ACCRETIVE OPERATORS WITH COMPACT PERTURBATIONS
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摘要 运用Leray-Schauder度的理论研究了带紧扰动的增生算子的特征值问题,并得到了正、负的特征值.所得结果改进并推广了Guan和Kartsatos的某些结果,他们只是得到了正的特征值. By using Leray-Schauder degree,some results of the eigenvalue problem for accretive operators with compact perturbations are given.These results which have positive and negative eigenvalue improve and generalize those given by Guan and Kartsatos which only have positive ones.
作者 谭丽 范江华
机构地区 广西师范大学数学与计算机科学学院
出处 《广西师范大学学报（自然科学版）》 CAS 2004年第2期37-40,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 广西青年科学基金资助项目(0007002)
关键词 泛函分析 特征值问题 增生算子 M-增生算子 紧扰动 LERAY-SCHAUDER度理论 functional analysis eigenvalue problem accretive operators m-accretive operators compact perturbations Leray-Schauder degree
分类号 O177.91 [理学—基础数学]
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参考文献9

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二级参考文献3

  • 1Guan Z，Nonlinear Anal，1996年，27卷，2期，125页
  • 2周海云，军械工程学院学报，1992年，4卷，3期，236页
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共引文献9

同被引文献19

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引证文献2

二级引证文献1

广西师范大学学报（自然科学版）
2004年 第2期

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