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RESULT: 作品数：427被引量：539H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：路云常峰王璐王繁可张园园更多>>; 相关机构：上海交通大学北京大学天津外国语大学重庆大学更多>>; 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高等学校学科创新引智计划中国博士后科学基金更多>>

A COMPACT EMBEDDING RESULT FOR NONLOCAL SOBOLEV SPACES AND MULTIPLICITY OF SIGN-CHANGING SOLUTIONS FOR NONLOCAL SCHRÖDINGER EQUATIONS: 《Acta Mathematica Scientia》2024年第5期1853-1876,共24页Xu ZHANG Hao ZHAI Fukun ZHAO; supported by the NSFC(12261107);Yunnan Key Laboratory of Modern Analytical Mathematics and Applications(202302AN360007).; For any s∈(0,1),let the nonlocal Sobolev space X^(s)(R^(N))be the linear space of Lebesgue measure functions from R^(N) to R such that any function u in X^(s)(R^(N))belongs to L2(R^(N))and the function(x,y)→(u(x)-u...; 关键词：sign-changing solution integro-differential operator least energy variational method

A STABILITY RESULT FOR TRANSLATINGSPACELIKE GRAPHS IN LORENTZ MANIFOLDS: 《Acta Mathematica Scientia》2024年第2期474-483,共10页高雅毛井吴传喜; supported in part by the NSFC(11801496,11926352);the Fok Ying-Tung Education Foundation(China);the Hubei Key Laboratory of Applied Mathematics(Hubei University).; In this paper,we investigate spacelike graphs defined over a domain Ω⊂M^(n) in the Lorentz manifold M^(n)×ℝ with the metric−ds^(2)+σ,where M^(n) is a complete Riemannian n-manifold with the metricσ,Ωhas piecewise...; 关键词：mean curvature flow spacelike graphs translating spacelike graphs maximal spacelike graphs constant mean curvature Lorentz manifolds

ACHIEVING OPTIMAL ADVERSARIAL ACCURACY FOR ADVERSARIAL DEEP LEARNING USING STACKELBERG GAMES被引量：1: 《Acta Mathematica Scientia》2022年第6期2399-2418,共20页Xiao-shan GAO Shuang LIU Lijia YU; This work was partially supported by NSFC(12288201);NKRDP grant(2018YFA0704705).; The purpose of adversarial deep learning is to train robust DNNs against adversarial attacks,and this is one of the major research focuses of deep learning.Game theory has been used to answer some of the basic questio...; 关键词：adversarial deep learning Stackelberg game optimal robust DNN universal adversarial attack adversarial accuracy trade-off result

A GENERALIZED RESULT ON THE POLYNOMIAL-LIKE ITERATIVE EQUATION: 《Acta Mathematica Scientia》2021年第1期177-186,共10页Pingping ZHANG Yingying ZENG; supported by the Natural Science Foundation of Shandong Province(ZR2017MA019);the Scientific Research Fund of Binzhou University(BZXYL1802);supported by the National Science Foundation of China(11501394);the Science Research Fund of Sichuan Provincial Education Department(15ZB0041);funding of School of Mathematical Sciences and V.C.&V.R.Key Lab of Sichuan Province。; Most results on the polynomial-like iterative equation are given under the condition that the given function is monotone,while a work by L.Liu and X.Gong gets nonmonotone PM solutions with height 1 when the given func...; 关键词：HEIGHT characteristic interval FORT PM function

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM被引量：2: 《Acta Mathematica Scientia》2019年第2期618-626,共9页Abderrahmane YOUKANA Salim A.MESSAOUDI Aissa GUESMIA; partially funded by KFUP Munder Project#IN161006; We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.; 关键词：heat EQUATION VISCOELASTIC general DECAY OPTIMAL

RICCATI-TYPE RESULT FOR MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPOSITE FUNCTIONAL EQUATIONS被引量：1: 《Acta Mathematica Scientia》2017年第6期1685-1694,共10页高凌云刘曼莉; By use of Nevanlinna value distribution theory, we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get ...; 关键词：Riccati equations meromorphic solutions composite functional equations

APPROXIMATION BY COMPLEX SZSZ-DURRMEYER OPERATORS IN COMPACT DISKS被引量：3: 《Acta Mathematica Scientia》2014年第4期1157-1165,共9页Sorin G.GAL Vijay GUPTA; In the present paper, we deal with the complex Szasz-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on comp...; 关键词：complex Szasz-Durrmeyer operators Voronovksaja type result exact order of approximation in compact disks simultaneous approximation

A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES: 《Acta Mathematica Scientia》2014年第2期274-284,共11页Peyman SALIMI Pasquale VETRO; supported by Università degli Studi di Palermo(Local University Project ex 60%); Recently, Suzuki [T. Suzuki characterizes metric completeness, Proc. A generalized Banach contractlon principle that Amer. Math. Soc. 136 （2008）, 1861-1869] proved a fixed point theorem that is a generalization of t...; 关键词：Fixed and common fixed points Suzuki fixed point theorem partial G-metricspaces

REGULARITY OF SOLUTIONS TO NONLINEAR TIME FRACTIONAL DIFFERENTIAL EQUATION: 《Acta Mathematica Scientia》2013年第6期1721-1735,共15页Mirjana STOJANOVI; Partially supported by projects:MNTR:174024;APV:114-451-3605/2013; We find an upper viscosity solution and give a proof of the existence-uniqueness in the space C^∞（t∈（0,∞）;H2^s＋2（R^n））∩C^0（t∈[0,∞）;H^s（R^n））,s∈R,to the nonlinear time fractional equation of distribu...; 关键词：nonlinear time-fractional equations of distributed order existence-uniqueness theorems viscosity solutions regularity result

THRESHOLD RESULT FOR SEMILINEAR PARABOLIC EQUATIONS WITH INDEFINITE NON-HOMOGENEOUS TERM: 《Acta Mathematica Scientia》2012年第6期2302-2314,共13页谢君辉戴求亿刘芳; supported by Natural Science Foundation of China(10971061);Hunan Provincial Innovation Foundation For Postgraduate(CX2010B209); In this paper, we study the threshold result for the initial boundary value problem of non-homogeneous semilinear parabolic equations {μt-△μ=g（μ）＋λf（x）,（x,t）∈Ω×（0,T）,μ=0,（x,t）∈ Ω×[0,T）,μ（x,0...; 关键词：parabolic equations initial boundary value problem global solution thresh-old result non-homogenous tern：

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