作者： Yuxing Deng，Xiaohua Zhu （School of Mathematics and Statistics，Beijing Institute of Technology，Beijing 100081，China；School of Mathematical Sciences and Beijing International Center for Mathematical Research，Peking University，Beijing 100871，China）

出处： 中国科学：数学(英文版) 2021 第64卷 第7期 P1411-1428

关键词： Ricci；soliton；Ricci；flow；κ-solutions；ε-pinched；curvature

摘要： In this paper,we prove that any κ-noncollapsed gradient steady Ricci soliton with nonnegative curvature operator and horizontally ε-pinched Ricci curv ...

作者： Lu Chen，Guozhen Lu，Maochun Zhu （School of Mathematics and Statistics，Beijing Institute of Technology，Beijing 100081，China；Department of Mathematics，University of Connecticut，Storrs，CT 06269，USA；School of Mathematical Sciences，Institute of Applied System Analysis，Jiangsu University，Zhenjiang 212013，China）

出处： 中国科学：数学(英文版) 2021 第64卷 第7期 P1391-1410

关键词： Trudinger-Moser；inequalities；degenerate；potential；ground；state；solutions；Schrodinger；equations；Nehari；manifold

摘要： The classical critical Trudinger-Moser inequality in R2 under the constraint ∫R2(| ▽u|2+|u|2)dx≤1 was established through the technique of blow-up ana ...

作者： Hanwen Zhang，Junmin Wang，Jianjun Gu （School of Mathematics and Statistics，Beijing Institute of Technology；School of Mathematics and Statistics，Changshu Institute of Technology）

出处： 第33届中国控制与决策会议 中国云南昆明 2021

会议录： 第33届中国控制与决策会议

关键词： Parabolic；partial；integro-differential；equation；Disturbance；rejection；Sliding；mode；control；method；Inputto-state；stabilization

摘要： This paper investigates the input-to-state stabilization problem of an ODE cascaded by a parabolic partial integro-differential equation（PIDE） subject ...

作者： Zhu, Pengyu¹;Yong, Yingjing²;Guo, Zhifeng³;Ren, Baicheng⁴; （¹School of Mathematics, Shandong University, Jinan, SHANDONG, 250100, China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;³Catholic Memorial High School, West Roxbury, 02132, MA, United States;⁴Brisbane Boy\'s College, Kensington Terrace, Toowong, Brisbane, 4066, QLD, Australia）

出处： Journal of Physics: Conference Series 2021 Vol.1848 No.1 P012011

摘要： The Non-negative Inverse Eigenvalue Problem (NIEP) is a sub-problem extracted from inverse eigenvalue problem with a long history from 1930s determini ...

作者： Peiwen Zhong¹;Zili Chen¹;Chuxin Hang¹;Shuang Wu¹;Liangcai Mei¹;Hongbo Sun¹; （¹Department of Mathematics and Civil Engineering, Zhuhai Campus, Beijing Institute of Technology, Zhuhai, Guangdong, 519088, China）

出处： Journal of Physics: Conference Series 2021 Vol.2024 P012068

摘要： Refuse classification is a waste treatment method, which creates reuse opportunities and enhances recyclable value for domestic waste. Prolonging the ...

作者： Qingliang Zhang¹;Binning Ma¹;Xier Zhong¹;Liangcai Mei¹;Youyu Zhou¹; （¹Department of Mathematics and Civil Engineering, Zhuhai Campus, Beijing Institute of Technology, Zhuhai, Guangdong, 519088, China）

出处： Journal of Physics: Conference Series 2021 Vol.2031 P012037

摘要： With the advent of the era of big data, the amount of data has also increased geometrically. People\'s ability to obtain effective information has gra ...

作者： Hu, Jun¹;Xiao, Zhankui²; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People\'s Republic of China ;²School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, People\'s Republic of China）

出处： Transactions of the American Mathematical Society, Series B 2021 Vol.8 P823-848

关键词： Brauer algebras;dominant dimensions;Quasi-hereditary algebras;symplectic groups;tilting modules

摘要： In this paper we use the dominant dimension with respect to a tilting module to study the double centraliser property. We prove that if A is a quasi-h ...

作者： Chong, Jacky J;Zhao, Zehua^1,2; （¹Department of Mathematics, University of Maryland ;²Department of Mathematics and Statistics, Beijing Institute of Technology, Key Laboratory of Mathematical Theory and Computation in Information Security）

出处： Annales Henri Poincaré 2021 P1-59

摘要： We consider a many-body Bosonic system with pairwise particle interaction given by N3β-1v(Nβx)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepac ...

作者： 王春¹;许天周²; （¹长治学院数学系;²北京理工大学数学与统计学院）

出处： 数学物理学报 2021 第41卷 第6期 P1791-1804

关键词： 广义Laplace变换；广义分数阶微分系统；Hyers-Ulam-Rassias稳定性

摘要： 该文应用广义Laplace变换方法研究了一类广义分数阶微分系统的Hyers-Ulam-Rassias稳定性,同时给出相关例子说明了理论结果的有效性.

作者： 姬秀，李同柱 （北京理工大学数学与统计学院）

出处： 数学学报 2021 第64卷 第1期 P47-58

关键词： 共形度量；共形第二基本形式；共形拟Blaschke张量

摘要： 设f:Mm→Rm+11是无脐点类空超曲面,则在Mm上可以定义四个基本的共形不变量:共形度量g,共形1-形式C,共形第二基本形式B,共形Blaschke张量A.如果存在光滑函数λ和常数μ,使得A + μB = λg,则称Mm是拟迷向类空超曲面.本文不仅构造了拟迷向类空超曲面的例子,同时在相差R1m+1 ...