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CLASS: 作品数：3141被引量：4032H指数：24; 导出分析报告; 相关领域：理学医药卫生更多>>; 相关作者：丁铲仇旭升于圣青孙英杰陈鸿军更多>>; 相关机构：中国农业科学院上海兽医研究所中国人民大学陕西师范大学扬州大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

Solution of the Center Problem for a Class of Polynomial Differential Systems: 《Acta Mathematica Sinica,English Series》2024年第7期1685-1696,共12页Chang Jian Liu Jaume Llibre Rafael Ramírez Valentín Ramírez; Supported by Grant NNSF of China(Grant No.12171491);the Ministerio de Ciencia,Innovación y Universidades,Agencia Estatal de Investigación grants MTM2016-77278-P(FEDER)and PID2019-104658GB-I00(FEDER);the Agència de Gestiód’Ajuts Universitaris i de Recerca grant 2017SGR1617;the H2020 European Research Council grant MSCA-RISE-2017-777911。; Consider the polynomial differential system of degree m of the form x=-y(1+μ(a_(2)x-a_(1)y))+x(v(a_(1)x+a_(2)y)+Ω_(m-1)(x,y)),y=x(1+μ(a_(2)x-a_(1)y))+y(v(a_(1)x+a_(2)y)+Ω_(m-1)(x,y)),whereμandνare real numbers s...; 关键词：Center problem polynomial differential system

Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform: 《Acta Mathematica Sinica,English Series》2024年第6期1533-1562,共30页Santosh Kumar UPADHYAY Mohd SARTAJ; Supported by SERB MATRICS(Grant No.MTR2021/000266)。; In this paper,pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced.The boundedness of pseudo-differential operators and commutator between two pseudo-dif...; 关键词：Pseudo-Differential Operators Homogeneous Symbol Class Weinstein Operator Sobolev space Weinstein transform

Homoclinic Solutions for a Class of Perturbed Fractional Hamiltonian Systems with Subquadratic Conditions: 《Acta Mathematica Sinica,English Series》2024年第5期1177-1196,共20页Ying LUO Fei GUO Yan LIU; Supported by National Natural Science Foundation of China(Grant No.12171355);Elite Scholar Program in Tianjin University,P.R.China。; In this paper,we consider the following perturbed fractional Hamiltonian systems{tD_(∞)^(α)(_(-∞)D_(t)^(α)u(t))+L(t)u(t)=■_(u)W(t,u(t))+■(u)G(t,u(t)),t∈R,u∈H^(α)(R,R^(N)),whereα∈(1/2,1],L∈C(R,R^(N×N))is s...; 关键词：Perturbed fractional Hamiltonian systems subquadratic condition perturbed method homoclinic solutions MULTIPLICITY

Tanaka Formula and Local Time for a Class of Interacting Branching Measure-valued Diffusions: 《Acta Mathematica Sinica,English Series》2024年第4期1059-1098,共40页Donald A.DAWSON Jean VAILLANCOURT Hao WANG; Partial funding in support of this work was provided by the Natural Sciences and Engineering Research Council of Canada(NSERC);the Department of Mathematics at the University of Oregon。; We construct superprocesses with dependent spatial motion(SDSMs)in Euclidean spaces R^(d)with d≥1 and show that,even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on R^(d),...; 关键词：Measure-valued diffusions stochastic partial differential equations SUPERPROCESSES branching processes local time Tanaka formula

The Isomorphism Problem of Normalized Unit Groups of Group Algebras of a Class of Finite 2-groups: 《Acta Mathematica Sinica,English Series》2023年第11期2275-2282,共8页Yu Lei WANG He Guo LIU; National Natural Science Foundation of China(Grant No.12171142)。; Let p be a prime and F_p be a finite field of p elements.Let F_(pG)denote the group algebra of the finite p-group G over the field F_(p)and V(F_(pG))denote the group of normalized units in F_(pG).Suppose that G and H ...; 关键词：isomorphism problem normalized unit Frattini subgroup finite 2-group

Existence of Three Solutions to a Class of Nonlinear Equations on Graphs: 《Acta Mathematica Sinica,English Series》2023年第6期1129-1137,共9页Yang LIU; Let be a function on locally finite connect graph G=(V,E)andΩbe a bounded subset of V.We consider the nonlinear Dirichlet boundary condition problem{-△u=f(u),inΩ,u=0,onδΩ.Let f:R→R be a function satisfying certa...; 关键词：Multiple solutions three-solution theorem variational method locally finite graph

The Spectrality of a Class of Fractal Measures on R^(n): 《Acta Mathematica Sinica,English Series》2023年第5期952-966,共15页Jing Cheng LIU Zhi Yong WANG Yao LIU Ya SHI; Supported by the NNSF of China(Grant Nos.12071125,12001183 and 11831007);the Hunan Provincial NSF(Grant Nos.2020JJ5097 and 2019JJ20012);the SRF of Hunan Provincial Education Department(Grant No.19B117)。; Let M=ρ^(-1)I∈Mn(R)be an expanding matrix with 0<|ρ|<1 and D■Z^(n)be a finite digit set with O∈D and Z(mD)■Z(mD)■Z(mD)∪{0}■m^(-1)z^(n)for a prime m,where Z(mD):=(Ede emi(a)=O),LetμM.D be theassociatedsel-sim...; 关键词：Fractal spectral measure orthogonal exponentials Fourier transform SPECTRUM

Representation of a Class of Linear Operators with Coupled Domain in a Product Space and Its Applications: 《Acta Mathematica Sinica,English Series》2023年第2期326-338,共13页Jing XU Jun Jie HUANG Alatancang CHEN; Supported by the NNSF of China(Grant Nos.11961052,11761029);the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(Grant No.NMGIRT2317);the NSF of Inner Mongolia(Grant Nos.2021MS01006,2020ZD01)。; This paper is concerned with the representation problem of a coupled operator in a product space.A necessary and sufficient condition is given for a class of operators with closed range to have a one-sided coupled ope...; 关键词：Coupled operator diffusion-transport equation delay equation dynamical boundary condition

A Vanishing Theorem on a Class of Hartogs Domain: 《Acta Mathematica Sinica,English Series》2023年第1期1-12,共12页Cheng Chen ZHONG An WANG Li Shuang PAN; Supported by National Natural Science Foundation of China(Grant No.11871044);Natural Science Foundation of Hebei Province(Grant No.A201906037)。; In this paper,we consider the d-boundedness of the Bergman metric and a vanishing theorem of L2-cohomology on a class of Hartogs domain,whose base domain is the production of two irreducible bounded symmetric domains ...; 关键词：d-bounded vanishing theorem Bergman metric

L^(p)Boundedness of Fourier Integral Operators in the Class S_(1,0): 《Acta Mathematica Sinica,English Series》2023年第1期37-98,共62页Ing-Lung HWANG; We prove the following properties:(1)Let a∈Λ_(1,0,k,k’)^(m0)(R^(n)×R^(n))with m0=-1|1/p-1/2|(n-1),n≥2(1 n/p,k’>0;2≤p≤∞,k>n/2,k’>0 respectively).Suppose the phase function S is positively homogeneous inξ-var...; 关键词：Fourier integral operator L^(p)-boundedness

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