MASLOV-TYPE INDEX THEORY FOR SYMPLECTIC PATHS AND SPECTRAL FLOW (Ⅰ) 被引量：7

MASLOV-TYPE INDEX THEORY FOR SYMPLECTIC PATHS AND SPECTRAL FLOW (Ⅰ)

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摘要 The spectral flow for paths of admissible operators in arbitrary Banach space is defined, and some properties of the spectral flow is studied.

作者 ZHUCHAOFENG LONGYIMING

机构地区 NvmkalInstituteofMathematics ProjectsupportedbytheNationalNaturalScienceFoundationofChina

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第4期413-424,共12页 数学年刊（B辑英文版）

关键词 Relative Morse index Non-selfadjoint operator Spectral flow 马斯罗型指数函数相对论非自伴算子光谱流动

分类号 O19 [理学—数学]

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1胡锡俊,龙以明.Closed characteristics on non-degenerate star-shaped hypersurfaces in R^(2n)[J].Science China Mathematics,2002,45(8):1038-1052. 被引量：4
2Hu XiJun,Sun ShanZhong.Morse index and the stability of closed geodesics[J].Science China Mathematics,2010,53(5):170-175. 被引量：5
3Fei Guihua,Qiu Qingjiu.PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEA RHAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics,Series B,1997,18(3):359-372. 被引量：7
4LONG YIMING .ON THE MINIMAL PERIOD FOR PERIODIC SOLUTION PROBLEM OF NONLINEAR HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics,Series B,1997,18(4):481-484. 被引量：6
5ChunGenLIU.The Relation of the Morse Index of Closed Geodesics with the Maslov-type Index of Symplectic Paths[J].Acta Mathematica Sinica,English Series,2005,21(2):237-248. 被引量：6
6Chungen LIU.Maslov P-Index Theory for a Symplectic Path with Applications[J].Chinese Annals of Mathematics,Series B,2006,27(4):441-458. 被引量：6
7Yu Ming XIAO.Periodic Solutions with Prescribed Minimal Period for the Second Order Hamiltonian Systems with Even Potentials[J].Acta Mathematica Sinica,English Series,2010,26(5):825-830. 被引量：2
8龙以明.MASLOV-TYPE INDEX, DEGENERATE CRITICAL POINTS, AND ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS[J].Science China Mathematics,1990,33(12):1409-1419. 被引量：17
9Hui LIU.Stability of Symmetric Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R^(2n) under a Pinching Condition[J].Acta Mathematica Sinica,English Series,2012,28(5):885-900. 被引量：3
10刘春根.次二次Hamilton系统的对偶Morse指标及其闭特征的稳定性[J].数学学报（中文版）,2001,44(6):1073-1088. 被引量：1

引证文献7

1张端智.Maslov型指标及非线性Hamilton系统中的闸轨道[J].中国科学（A辑）,2007,37(3):301-311.
2Chungen LIU,Qi WANG.Some Abstract Critical Point Theorems for Self-adjoint Operator Equations and Applications[J].Chinese Annals of Mathematics,Series B,2011,32(1):1-14.
3Guoyuan CHEN.Fredholm Index and Spectral Flow in Non-self-adjoint Case[J].Acta Mathematica Sinica,English Series,2013,29(5):975-992.
4ZHANG DuanZhi.Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems[J].Science China Mathematics,2014,57(1):81-96.
5Gao Sheng ZHU.Indices and Stability of the Lagrangian System on Riemannian Manifold[J].Acta Mathematica Sinica,English Series,2021,37(4):565-580.
6Xi Jun HU,Li WU.Mean Index for Non-periodic Orbits in Hamiltonian Systems[J].Acta Mathematica Sinica,English Series,2022,38(1):291-310.
7LI Jia-yang,WANG Qi.The Existence of Solutions for a Class of Schr¨odinger Equations via Morse Index Theory[J].Chinese Quarterly Journal of Mathematics,2022,37(3):274-280.

1LONG YIMING,ZHU CHAOFENG.MASLOV-TYPE INDEX THEORYFOR SYMPLECTIC PATHS AND SPECTRAL FLOW(II)[J].Chinese Annals of Mathematics,Series B,2000,21(1):89-108. 被引量：8
2Guoyuan CHEN.Fredholm Index and Spectral Flow in Non-self-adjoint Case[J].Acta Mathematica Sinica,English Series,2013,29(5):975-992.
3侯国林,阿拉坦仓.一类无穷维Hamilton算子的谱[J].内蒙古大学学报（自然科学版）,2007,38(3):247-251. 被引量：14
4黄俊杰,阿拉坦仓.上三角型无穷维Hamilton算子的连续谱[J].南京理工大学学报,2005,29(2):240-243. 被引量：7
5阿拉坦仓,黄俊杰.一类无穷维Hamilton算子的谱分布[J].大连理工大学学报,2004,44(3):326-329. 被引量：11
6黄俊杰,阿拉坦仓,范小英.无穷维Hamilton算子的谱结构[J].中国科学（A辑）,2008,38(1):71-78. 被引量：22
7王华,阿拉坦仓,黄俊杰.上三角无穷维Hamilton算子的剩余谱[J].数学的实践与认识,2010,40(3):195-201.
8Duan-zhi ZHANG School of Mathematical Sciences, Peking University, Beijing 100871, China.Maslov-type index and brake orbits in nonlinear Hamiltonian systems[J].Science China Mathematics,2007,50(6):761-772. 被引量：1
9马逸尘,胡常兵,刘之行.非自伴算子时间离散化惯性流形[J].数学进展,2000,29(1):36-50.
10范漪涵,孙长银.关于非自伴算子D^4+X~α+iX~β的极限点性质[J].三峡大学学报（人文社会科学版）,1998,21(3):11-16.

Chinese Annals of Mathematics,Series B

1999年第4期

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MASLOV-TYPE INDEX THEORY FOR SYMPLECTIC PATHS AND SPECTRAL FLOW (Ⅰ) 被引量：7

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