《Acta Mathematica Scientia》

作品数:3791被引量:4647H指数:19
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《Acta Mathematica Scientia》
主办单位:中国科学院精密测量科学与技术创新研究院
最新期次:2025年2期更多>>
发文主题:EXISTENCESOLUTIONSEQUATIONCLASSSOME更多>>
发文领域:理学自动化与计算机技术经济管理文化科学更多>>
发文基金:国家自然科学基金广东省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更多>>
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《Acta Mathematica Scientia》2025年第2期F0002-F0002,共1页
GENERALIZED COUNTING FUNCTIONS AND COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES OF DIRICHLET SERIES
《Acta Mathematica Scientia》2025年第2期291-309,共19页Min HE Maofa WANG Jiale CHEN 
supported by the National Natural Science Foundation of China(12171373);Chen's work also supported by the Fundamental Research Funds for the Central Universities of China(GK202207018).
In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditio...
关键词:generalized counting function Dirichlet series composition operator weighted Bergman space 
CERTAIN OSCILLATING OPERATORS ON HERZ-TYPE HARDY SPACES
《Acta Mathematica Scientia》2025年第2期310-326,共17页Ziyao LIU Dashan FAN 
supported by the National Key Research and Development Program of China(22YFA10057001);the National Science Foundation of Guangdong Province(2023A1515012034);the National Natural Science Foundation of China(12371105,11971295).
Let 0
关键词:Herz-type Hardy space atomic decomposition oscillating multiplier operator spherical average 
C^(1,1) REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM
《Acta Mathematica Scientia》2025年第2期327-337,共11页Di WU 
In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
关键词:C^(1 1)regularity Monge-Ampere type equation dual Orlicz-Minkowski problem 
THE GLOBAL DYNAMICS OF A 3-DIMENSIONAL DIFFERENTIAL SYSTEM IN R^(3) VIA A DARBOUX INVARIANT
《Acta Mathematica Scientia》2025年第2期338-346,共9页Jaume LLIBRE Claudia VALLS 
supported by the Agencia Estatal de Investigación grant PID2019-104658GB-I00;the H2020 European Research Council grant MSCA-RISE-2017-777911;AGAUR(Generalitat de Catalunya)grant 2021SGR00113;the Reial Acadèmia de Ciències i Arts de Barcelona;supported by FCT/Portugal through CAMGSD,IST-ID,projects UIDB/04459/2020 and UIDP/04459/2020.
The differential systemẋ=ax−yz,ẏ=−by+xz,ż=−cz+x2,where a,b and c are positive real parameters,has been studied numerically due to the big variety of strange attractors that it can exhibit.This system has a Darboux inv...
关键词:INVARIANT Poincare ball Poincarédisc w-limit Q-limit differential system in R^(3) 
ON SOME SHARP CHERNOFF TYPE INEQU ALITIES
《Acta Mathematica Scientia》2025年第2期540-552,共13页Yuqi ZHOU Chunna ZENG 
supported by the Postgraduate Scientic Research Innovation Project of Chongqing Normal University(YKC24010);Chunna Zeng's research was supported by the Major Special Project of the National Natural Science Foundation of China(12141101);the Young Top-Talent program of Chongqing(CQYC2021059145);the Technology Research Foundation of Chongqing Educational committee(KJZD-K202200509);the Natural Science Foundation Project of Chongqing(CSTB2024NSCQ-MSX0937)。
Two sharp Chernoff type inequalities are derived for star bodies in R2,one is an extension of the dual Chernoff-Ou-Pan inequality,and the other is the reverse Chernoff type inequality.Furthermore,we establish a genera...
关键词:Chernoff type inequality Fourier series k-order radial function reverse Chernoff type inequality 
APPROXIMATE CONTROLLABILITY OF NONLINEAR EVOLUTION FRACTIONAL CONTROL SYSTEMI WITH DELAY
《Acta Mathematica Scientia》2025年第2期553-568,共16页Kamla Kant MISHRA Shruti DUBEY 
This article studies the existence and uniqueness of the mild solution of a family of control systems with a delay that are governed by the nonlinear fractional evolution differential equations in Banach spaces.Moreov...
关键词:nonlinear fractional differential equation Caputo fractional derivative mild solution existence and uniqueness theorems approximate controllability 
A GENERALIZED CHOQUARD EQUATION WITH WEIGHTED ANISOTROPIC STEIN-WEISS POTENTIAL ON A NONREFLEXIVE ORLICZ-SOBOLEV SPACES
《Acta Mathematica Scientia》2025年第2期569-601,共33页Lucas DA SILVA Marco A.S.SOUTO 
supported by FAPESQ/Brazil(Grant No.3031/2021);supported by CNPq/Brazil(Grant No.309.692/2020-2)and FAPESQ/Brazil(Grant No.3031/2021).
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),wher...
关键词:Orlicz-Sobolev spaces variational methods Choquard equation nonrefexive spaces 
MULTIPLE SOLUTIONS FOR A HAMILTONIAN ELLIPTIC SYSTEM WITH SIGN-CHANGING PERTURBATION
《Acta Mathematica Scientia》2025年第2期602-614,共13页Peng CHEN Longjiang GU Yan WU 
supported by the NSFC(11301297);the Hubei Provincial Natural Science Foundation of China(2024AFB730);the Yichang City Natural Science Foundation(A-24-3-008);the Open Research Fund of Key Laboratory of Nonlinear Analysis and Applications(Central China Normal University),Ministry of Education,P.R.China(NAA2024ORG003);Gu's research was supported by the Zhejiang Provincial Natural Science Foundation(LQ21A010014);the NFSC(12101577).
In this paper,we study the elliptic system{-Δu+V(x)u=|v|^(p-2)v-λ_(2)|v|^(s2-2)v,-Δu+V(x)v=|u|^(p-2)u-λ_(1)|u|^(s1-2)u,u,v∈H^(1)(R^(N))with strongly indefinite structure and sign-changing nonlinearity.We overcome...
关键词:variational method strongly indefinite elliptic system multiple solutions signchanging nonlinearity 
CLASSIFICATION OF SELF-SIMILAR SOLUTIONS OF THE DEGENERATE POLYTROPIC FILTRATION EQUATIONS
《Acta Mathematica Scientia》2025年第2期615-635,共21页Zhipeng LIU Shanming JI 
supported by the NSFC(12271178,12171166);the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022);the TCL Young Scholar(2024-2027).
In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,suc...
关键词:self-similar solutions polytropic filtration equation degenerate diffusion equation doubly nonlinear diffusion 
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