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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>>

Infinitely Many Solutions for a Class of Quasi-linear Elliptic Problem: 《Acta Mathematicae Applicatae Sinica》2024年第3期728-743,共16页Xiao-yao JIA Zhen-luo LOU; supported by National Natural Science Foundation of China (No.12101192, 11571339, 11871195,11301153);Key Scientific Research Projects of Higher Education Institutions in Henan Province(No.20B110004)。; In this paper,we study the following quasi-linear elliptic equation:■where Ω?R^(N) is a bounded domain,λ>0 is a parameter.The function ψ(|t|)t is the subcritical term,and φ(|t|)t is the critical Orlicz-Sobolev gr...; 关键词：quasi-linear elliptic equations variational methods Orlicz-Sobolev spaces

A Minimum Residual Based Gradient Iterative Method for a Class of Matrix Equations: 《Acta Mathematicae Applicatae Sinica》2024年第1期17-34,共18页Qing-qing Zheng; supported by the National Natural Science Foundation of China (No. 12001311);Science Foundation of China University of Petroleum,Beijing (No. 2462021YJRC025);the State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum。; In this paper, we present a minimum residual based gradient iterative method for solving a class of matrix equations including Sylvester matrix equations and general coupled matrix equations. The iterative method uses...; 关键词：Sylvester matrix equation coupled matrix equation minimum residual gradient descent convergence analysis

Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions被引量：1: 《Acta Mathematicae Applicatae Sinica》2023年第2期249-261,共13页Mohamed BOUAOUID; This paper deals with the existence,uniqueness and continuous dependence of mild solutions for a class of conformable fractional differential equations with nonlocal initial conditions.The results are obtained by mean...; 关键词：fractional partial differential equations fractional derivatives and integrals cosine family of linear operators nonlocal conditions

Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials被引量：1: 《Acta Mathematicae Applicatae Sinica》2022年第2期463-483,共21页Na LI Xiao-ming HE; supported by the National Natural Science Foundation of China(Nos.12171497,11771468,11971027)。; In this paper,we study the existence of positive solution for the p-Laplacian equations with frac-tional critical nonlinearity{-Δ)_(p)^(s)u+V(x)|u|^(p-2)u=K(x)f(u)+P(x)|u|p_(s)^(*)-^(2)u,x∈R^(N),u∈Ds,p(RN),where s...; 关键词：Fractional p-Laplacian Variational methods Mountain Pass Theorem Critical growth Vanishing potential

Weighted Estimates for a Class of Global Maximal Operators Associated with Dispersive Equation: 《Acta Mathematicae Applicatae Sinica》2022年第1期187-208,共22页Yong DING Yao-ming NIU; supported by the National Natural Science Foundation of China(Nos.11871096,12071473,11661061,11761054);by the Natural Science Foundation of Inner Mongolia(Nos.2019MS01003,2021MS01001);Inner Mongolia University scientific research projects(Nos.NJZY19186,NJZZ21050)。; For a function Ф satisfying some suitable growth conditions,consider the following general dispersive equation defined by{i■tu+Ф(√-△)u=0,u(x,0)=f(x),(x,t)∈R^(n)× R,f∈S(R^(n) where Ф(√-△)is a pseudo-differen...; 关键词：global maximal operator weighted estimate pseudo-differential operator dispersive equation

UV -theory of a Class of Semidefinite Programming and Its Applications被引量：1: 《Acta Mathematicae Applicatae Sinica》2021年第4期717-737,共21页Ming HUANG Jin-long YUAN Li-ping PANG Zun-quan XIA; This paper is supported by the National Natural Science Foundation of China(Nos.11701063,11901075);the Project funded by China Postdoctoral Science Foundation(Nos.2019M651091,2019M661073);the Fundamental Research Funds for the Central Universities(Nos.3132021193,3132021199);the Natural Science Foundation of Liaoning Province in China(Doctoral Startup Foundation of Liaoning Province in China(Nos.2020-BS-074);Dalian Youth Science and Technology Star(No.2020RQ047);Huzhou Science and Technology Plan(No.2016GY03);Key Research and Development Projects of Shandong Province(No.2019GGX104089);the Natural Science Foundation of Shandong Province(No.ZR2019BA014).; In this paper we study optimization problems involving convex nonlinear semidefinite programming(CSDP).Here we convert CSDP into eigenvalue problem by exact penalty function,and apply the U-Lagrangian theory to the fu...; 关键词：semidefinite programming nonsmooth optimization eigenvalue optimization UV-decomposition u-Lagrangian smooth manifold second-order derivative

Ground State Solutions for a Class of Choquard Equations Involving Doubly Critical Exponents: 《Acta Mathematicae Applicatae Sinica》2021年第4期820-840,共21页Yong-yong LI Gui-dong LI Chun-lei TANG; This paper is supported by the National Natural Science Foundation of China(No.11971393).; In this paper,we are concerned with the autonomous Choquard equation−Δu+u=(Iα∗|u|^(α/N+1))|u|^(α/N−1)u+|u|^(2∗−2)u+f(u)inR^(N),where N≥3,Iαdenotes the Riesz potential of orderα∈(0,N),the exponentsα/N+1 and 2^...; 关键词：choquard equation doubly critical exponents ground state solution

Existence and Properties of Solutions for a Class of Fractional Differential Equations被引量：1: 《Acta Mathematicae Applicatae Sinica》2021年第3期477-484,共8页Yong-qiang XU Shu-hong CHEN Zhong TAN; by the National Natural Science Foundation of China(Nos.11571159,11531010);by the Natural Science Foundation of Fujian Province(Nos.2017J01562).; In this paper,we consider the initial value problem of a class of fractional differential equations.Firstly,we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation...; 关键词：EXISTENCE UNIQUENESS fractional derivative equations

An Explicit Lower Bound for Blow Up Time in a Class of Nonlinear Wave Equations with Nonlinear Damping and Source Terms: 《Acta Mathematicae Applicatae Sinica》2021年第1期148-154,共7页Xiao-ming PENG Ya-dong SHANG Xue-qin WANG; supported by big data and Educational Statistics Application Laboratory(2017WSYS001);Guangdong University of Finance and Economics。; This paper deals with an initial boundary value problem for a class of nonlinear wave equation with nonlinear damping and source terms whose solution may blow up in finite time.An explicit lower bound for blow up time...; 关键词：lower bound blow up nonlinear wave equation nonlinear damping nonlinear source

A Primal-dual Interior-point Algorithm for Symmetric Cone Convex Quadratic Programming Based on the Commutative Class Directions被引量：1: 《Acta Mathematicae Applicatae Sinica》2019年第2期359-373,共15页S.ASADI H.MANSOURI M.ZANGIABADI; Shahrekord University for financial support;partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Shahrekord, Iran; In this paper, we present a neighborhood following primal-dual interior-point algorithm for solving symmetric cone convex quadratic programming problems, where the objective function is a convex quadratic function and...; 关键词：INTERIOR-POINT method symmetric cone CONVEX quadratic programming wide NEIGHBORHOOD COMMUTATIVE CLASS DIRECTIONS complexity bound

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