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PERTURBATIONS: 作品数：249被引量：246H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：闵庆文夏淳亮刘玉孝周海云姚喜妍更多>>; 相关机构：山东大学中国农业大学中国科学院中国地质大学（武汉）更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金中国科学院科研项目更多>>

A Degenerate KAM Theorem for Partial Differential Equations with Unbounded Perturbations: 《Acta Mathematica Sinica,English Series》2024年第11期2719-2734,共16页Mei Na GAO Jian Jun LIU; supported by NNSFC(Grant No.11971299);supported by NNSFC(Grant Nos.12090010,12090013)。; In this paper,an infinite dimensional KAM theorem with unbounded perturbations and double normal frequencies is established under qualitative non-degenerate conditions.This is an extension of the degenerate KAM theore...; 关键词：KAM theorem derivative nonlinear Schrödinger equation quasi-periodic solutions

The Decomposability for Operator Matrices and Perturbations: 《Acta Mathematica Sinica,English Series》2023年第3期497-512,共16页Xiao Li WANG ALATANCANG; Supported by National Natural Science Foundation of China(Grant No.11761029);Inner Mongolia Higher Education Science and Technology Research Project(Grant Nos.NJZY22323 and NJZY22324);Inner Mongolia Natural Science Foundation(Grant No.2018MS07020)。; Let X and Y be Banach spaces.For A∈L(X),B∈L(Y),C∈L(Y,X),let MCbe the operator matrix defined on X⊕Y by M_(C)=(AC0B)∈L(X⊕Y).In this paper we investigate the decomposability for MC.We consider Bishop’s property(...; 关键词：Bishop’s property(β) decomposition property(δ) Dunford’s property(C) DECOMPOSABILITY operator matrix PERTURBATION local spectral theory

Additive Maps Preserving Nilpotent Perturbation of Scalars: 《Acta Mathematica Sinica,English Series》2019年第3期407-426,共20页Ting ZHANG Jin Chuan HOU; Supported by Natural Science Foundation of China(Grant No.11671294); Let X be a Banach space over F(= R or C) with dimension greater than 2. Let N(X) be the set of all nilpotent operators and B_0(X) the set spanned by N(X). We give a structure result to the additive maps on FI + B_0(X)...; 关键词：BANACH SPACES NILPOTENT operators PERTURBATIONS additive PRESERVERS

A Note on the Perturbations of Compact Quantum Metric Spaces被引量：1: 《Acta Mathematica Sinica,English Series》2016年第10期1214-1220,共7页Li Guang WANG; Supported in part by NSFC(Grant No.11371222); In this short note, we consider the perturbation of compact quantum metric spaces. We first show that for two compact quantum metric spaces （A, P） and （B, Q） for which A and B are subspaces of an order-unit space ...; 关键词：Compact quantum metric space quantum Gromov-Hausdorff distance C＊-algebra Lip-norm spectral triple

Perturbations of Frames: 《Acta Mathematica Sinica,English Series》2014年第7期1089-1108,共20页Dong Yang CHEN Lei Li Ben Tuo ZHENG; supported by National Natural Science Foundation of China(Grant Nos.10701063 and11001231);the Fundamental Research Funds for the Central Universities(Grant No.2011121039);supported by National Natural Science Foundation of China(Grant Nos.11301285 and 11371201);supported by NSF(Grant No.DMS-1200370); In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It i...; 关键词：Hilbert frames near-Riesz basis Schauder frames PERTURBATION

Perturbations of Moore–Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces被引量：5: 《Acta Mathematica Sinica,English Series》2014年第7期1109-1124,共16页Hai Feng MA Shuang SUN Yu Wen WANG Wen Jing ZHENG; supported by National Science Foundation of China,Tian Yuan Special Foundation(GrantNo.11326111);Scientific Research Foundation of Heilongjiang Provincial Education Department(Grant No.12541232);Science Research Foundation of Harbin Normal University for Doctor(Grant No.KGB201223);supported by National Science Foundation of China(Grant No.11071051);Natural Science Foundation of Heilongjiang Province(Grant No.A201106);supported by NaturalScience Major Program of Higher Educational Science and Technology Program of Inner Mongolia(Grant No.NJZZ12231); In this paper, the perturbations of the Moore-Penrose metric generalized inverses of linear operators in Banach spaces are described. The Moore Penrose metric generalized inverse is homo- geneous and nonlinear in gene...; 关键词：Banach space Moore-Penrose metric generalized inverse PERTURBATION

Property(ω) and Its Perturbations被引量：1: 《Acta Mathematica Sinica,English Series》2014年第5期797-804,共8页Wei Juan SHI Xiao Hong CAO; Supported by the Fundamental Research Funds for the Central Universities(Grant No.GK201301007);National Natural Science Foundation of China(Grant No.11371012); Abstract A Hilbert space operator T is said to have property （ω1） if σα（T）／σaw（T） π00（T）, where σα（T） andσαw（T） denote the approximate point spectrum and the Weyl essential approximate point sp...; 关键词：Property （ω1） property （ω） compact perturbations

A Note on the Left Essential Spectra of Operator Matrices被引量：2: 《Acta Mathematica Sinica,English Series》2007年第12期2235-2240,共6页Yuan LI Xiu Hong SUN Hong Ke DU; NSF of China(10571113); When A ∈ B（H） and B ∈ B（K） are given, we denote by Me the operator matrix acting on the infinite dimensional separable Hilbert space H ＋ K of the form Me = （ A C O B）. In this paper, a necessary and sufficien...; 关键词：left essential spectrum 2×2 operator matrix perturbations of spectra

On the Bifurcations of a Hamiltonian Having Three Homoclinic Loops under Z_3 Invariant Quintic Perturbations: 《Acta Mathematica Sinica,English Series》2007年第5期869-878,共10页Yu Hal WU Mao An HAN; The research is supported by fund of Youth of Jiangsu University(05JDG011); A cubic system having three homoclinic loops perturbed by Z3 invariant quintic polynomials is considered. By applying the qualitative method of differential equations and the numeric computing method, the Hopf bifurca...; 关键词：homoclinic loop bifurcation heteroclinic loop bifurcation Hopf bifurcation stability limit cycles

Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations: 《Acta Mathematica Sinica,English Series》2005年第1期185-192,共8页Javier CHAVARRIGA Isaac A.GARCIA; supported by the Spanish MCYT,Grant Number BFM 2002-04236-C01-01; In this work we study Lie symmetries of planar quasihomogeneous polynomialvector fields from different points of view, showing its integrability. Additionally, we show thatcertain perturbations of such vector fields w...; 关键词：Lie symmetries Quasi-homogeneous systems Planar vector fields

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