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SUBLINEAR: 作品数：67被引量：171H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：安和平冯恩民游兆永刘辉昭蒋达清更多>>; 相关机构：东北师范大学大连理工大学云南工业大学西安交通大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Probability, Uncertainty and Quantitative Risk》《Chinese Annals of Mathematics,Series B》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国家教育部博士点基金中国博士后科学基金更多>>

Law of large numbers for m-dependent random vectors under sublinear expectations: 《Probability, Uncertainty and Quantitative Risk》2025年第1期1-12,共12页Mingcong Wu Guanghui Cheng; funded by the National Nature Science Foundation of China(Grant No.12001128);the GuangDong Basic and Applied Basic Research Foundation(Grant No.2022A1515011899).; Sublinear expectation relaxes the linear property of classical expectation to subadditivity and positive homogeneity,which can be expressed as E(·)=sup_(θ∈θ) E_(θ)(·)for a certain set of linear expectations{E_(...; 关键词：Law of large numbers m-dependence Sublinear expectations Rate of convergence Random vectors

An algorithm for the calculation of upper variance under multiple probabilities and its application to quadratic programming: 《Probability, Uncertainty and Quantitative Risk》2025年第1期59-66,共8页Xinpeng Li Miao Yu Shiyi Zheng; The concept of upper variance under multiple probabilities is defined through a corresponding minimax optimization problem.This study proposes a simple algorithm to solve this optimization problem exactly.Additionally...; 关键词：Multiple probabilities Quadratic programming Sublinear expectation Upper variance

Positive Periodic Solutions to a Second-order Nonlinear Differential Equation with an Indefinite Singularity: 《数学理论与应用》2025年第1期81-93,共13页YUAN Shujing LI Shaowen CHENG Zhibo; supported by the Technological Innovation Talents in Universities and Colleges in Henan Province(No.21HASTIT025);the Natural Science Foundation of Henan Province(No.222300420449);the Innovative Research Team of Henan Polytechnic University(No.T2022-7)。; In this paper,we provide new sufficient conditions for the existence of positive periodic solutions for a class of indefinite singular differential equation x′′(t)+a(t)x(t)=h(t)/x^(ρ)(t)+g(t)x^(δ)(t)+e(t),whereρ...; 关键词：Schauder fixed point theorem Krasnoselskii-Guo fixed point theorem Indefinite singular Sublinear and semilinear Positive periodic solution

On the Necessary and Sufficient Conditions for Peng's Law of Large Numbers Under Sublinear Expectations: 《Chinese Annals of Mathematics,Series B》2025年第1期139-150,共12页Xinpeng LI Gaofeng ZONG; supported by the National Natural Science Foundation of China(Nos.12326603,11601281,11501325);the National Key R&D Program of China(No.2018YFA0703900);the Natural Science Foundation of Shandong Province(No.ZR2021MA018);the Social Science Planning Project of Shandong Province(No.24CJJJ18);the Qilu Scholars Program of Shandong University。; In this paper,the authors firstly establish the weak laws of large numbers on the canonical space(R^(N),B(R^(N)))by traditional truncation method and Chebyshev’s inequality as in the classical probability theory.Then...; 关键词：Canonical space Independence and identical distribution Peng's law of large numbers Sublinear expectation

Weak Mixed Martingale Hardy Spaces: 《数学进展》2024年第6期1256-1270,共15页ZHANG Chuanzhou LUO Ziyu ZHANG Xueying; Supported by NSFC(No.11871195)。; In this paper,the authors introduce weak mixed martingale Hardy spaces defined with the help of weak mixed L^(p→) norm.The authors establish atomic decompositions of weak mixed martingale Hardy spaces and give the su...; 关键词：weak mixed space atomic decomposition σ-sublinear

A strong law of large numbers under sublinear expectations: 《Probability, Uncertainty and Quantitative Risk》2023年第3期333-350,共18页Yongsheng Song; supported by National Key R&D Program of China(Grant Nos.2020YFA0712700,2018YFA0703901);NSFCs(Grant No.11871458);Key Research Program of Frontier Sciences,CAS(Grant No.QYZDBSSW-SYS017).; We consider a sequence of independent and identically distributed(i.i.d.)random variables{ξ_(k)}under a sublinear expectation E=sup_(P∈Θ).We first give a new proof to the fact that,under each P∈Θ,any cluster poin...; 关键词：Law of large numbers Tailσ-algebra Sublinear expectation

Multiplicity of Periodic Bouncing Solutions for Sublinear Damped Variation Systems via Nonsmooth Variational Methods: 《Acta Mathematica Sinica,English Series》2023年第7期1332-1350,共19页Si Qi WANG Fei GUO; Supported by the National Natural Science Foundation of China (Grant No. 12171355);Elite Scholar Program in Tianjin University,P. R. China。; Two results about the multiplicity of nontrivial periodic bouncing solutions for sublinear damped vibration systems-x=g(t)x+f(t,x) are obtained via the Generalized Nonsmooth Saddle Point Theorem and a technique establ...; 关键词：Damped vibration systems generalized Nonsmooth Saddle Point Theorem sublinear conditions periodic bouncing solutions MULTIPLICITY

Non-linear affine processes with jumps: 《Probability, Uncertainty and Quantitative Risk》2023年第2期235-266,共32页Francesca Biagini Georg Bollweg Katharina Oberpriller; We present a probabilistic construction of R^(d)-valued non-linear affine processes with jumps.Given a setΘof affine parameters,we define a family of sublinear expectations on the Skorokhod space under which the cano...; 关键词：Sublinear expectation Non-linear affine processes Dynamic programming PIDE

A universal robust limit theorem for nonlinear Lévy processes under sublinear expectation: 《Probability, Uncertainty and Quantitative Risk》2023年第1期1-32,共32页Mingshang Hu Lianzi Jiang Gechun Liang Shige Peng; supported by the National Key R&D Program of China(Grant No.2018YFA0703900);the National Natural Science Foundation of China(Grant No.11671231);the Qilu Young Scholars Program of Shandong University;supported by the Tian Yuan Projection of the National Natural Science Foundation of China(Grant Nos.11526205,11626247);the National Basic Research Program of China(973 Program)(Grant No.2007CB814900(Financial Risk)).; This article establishes a universal robust limit theorem under a sublinear expectation framework.Under moment and consistency conditions,we show that,forα∈(1,2),the i.i.d.sequence{(1/√∑_(i=1)^(n)X_(i),1/n∑_(i=1)...; 关键词：Universal robust limit theorem Partial integro-differential equation Nonlinear Lévy process α-stable distribution Sublinear expectation

Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term: 《Acta Mathematicae Applicatae Sinica》2022年第2期484-496,共13页Wen-juan LI Yuan-hong YU; supported by the NSFC(11761006,11762001);the Higher School Foundation of Inner Mongolia(NJZY17301)。; The authors present some new criteria for oscillation and asymptotic behavior of solutions of third-order nonlinear differential equations with a sublinear neutral term of the form(r(t)(z"(t))α)+∫_(c)^(d)q(t,ξ)f(x(...; 关键词：oscillatory behavior neutral differential equation THIRD-ORDER

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