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NON-LIPSCHITZ: 作品数：36被引量：36H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：司徒荣尹居良更多>>; 相关机构：中山大学暨南大学电子科技大学重庆师范大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Probability, Uncertainty and Quantitative Risk》《Acta Mathematica Scientia》《Chinese Journal of Electronics》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中国博士后科学基金安徽省自然科学基金更多>>

Backward Doubly Stochastic Differential Equations with Stochastic Non-Lipschitz Coefficients: 《Acta Mathematicae Applicatae Sinica》2024年第4期908-928,共21页Si-yan XU Yi-dong ZHANG; supported by Beijing Natural Science Foundation(No.1222004);Yuyou Project of North University of Technology(No.207051360020XN140/007);Scientific Research Foundation of North University of Technology(No.110051360002)。; In this paper,we prove an existence and uniqueness theorem for backward doubly stochastic differential equations under a new kind of stochastic non-Lipschitz condition which involves stochastic and timedependent condi...; 关键词：Stochastic non-Lipschitz coefficients backward doubly stochastic differential equation stochastic viscosity solutions

Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity: 《Acta Mathematica Sinica,English Series》2024年第7期1697-1726,共30页Timilehin Opeyemi Alakoya Oluwatosin Temitope Mewomo; Supported by National Research Foundation(NRF)of South Africa Incentive Funding for Rated Researchers(Grant No.119903)。; In this paper,we study the concept of split monotone variational inclusion problem with multiple output sets.We propose a new relaxed inertial iterative method with self-adaptive step sizes for approximating the solut...; 关键词：Split inverse problems non-Lipschitz operators inertial technique self-adaptive step sizes

STRONG CONVERGENCE OF JUMP-ADAPTED IMPLICIT MILSTEIN METHOD FOR A CLASS OF NONLINEAR JUMP-DIFFUSION PROBLEMS: 《Journal of Computational Mathematics》2024年第1期248-270,共23页Xu Yang Weidong Zhao; supported by the National Natural Science Foundation of China(Grant Nos.11901565,12071261,11831010,11871068);by the Science Challenge Project(No.TZ2018001);by National Key R&D Plan of China(Grant No.2018YFA0703900).; In this paper,we study the strong convergence of a jump-adapted implicit Milstein method for a class of jump-diffusion stochastic differential equations with non-globally Lipschitz drift coefficients.Compared with the...; 关键词：JUMP-DIFFUSION Jump-adapted implicit Milstein method Poisson jumps Strong convergence rate Non-Lipschitz coefficients

Dynamic analysis of a predator-prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response: 《International Journal of Biomathematics》2024年第1期81-112,共32页Liliana Puchuri Orestes Bueno; In this work,we study a predator-prey model of Gause type,in which the prey growth rate is subject to an Allee effect and the action of the predator over the prey is determined by a generalized hyperbolic-type functio...; 关键词：Predator-prey models Gause models Allee effect non-differentiable functional response

Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces: 《Acta Mathematica Sinica,English Series》2023年第12期2374-2392,共19页Duong Viet THONG; This paper deals with a class of inertial gradient projection methods for solving a vari-ational inequality problem involving pseudomonotone and non-Lipschitz mappings in Hilbert spaces.The proposed algorithm incorpor...; 关键词：Inertial method projection and contraction method variational inequality problem pseu-domonotone mapping convergence rate

Moderate deviation principle for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction: 《Statistical Theory and Related Fields》2022年第4期299-308,共10页Juan Yang; This work was supported by Fundamental Research Funds for the Central University[grant number 2019XD-A11];(NationalNatural Science Foundation of China)NSFC[grant number 11871010].; In this article,we obtain a central limit theorem and prove a moderate deviation principle for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.; 关键词：NON-LIPSCHITZ central limit theorems moderation deviations

伪单调Non-Lipschitz算子的变分不等式问题的惯性黏性迭代方法: 《数学进展》2022年第4期717-736,共20页蔡钢刘丽亚; Supported by NSFC (Nos.11771063,12171062);Natural Science Foundation of Chongqing(No.cstc2020jcyj-msxmX0455);Science and Technology Project of Chongqing Education Committee (No.KJZD-K201900504)。; 本文在实Hilbert空间中引入求解伪单调non-Lipschitz连续算子的变分不等式问题的一种新的黏性超梯度算法.在对参数添加适当条件下得到了强收敛定理.还通过一些数值例子来支持我们的算法.主要结果推广和改进了一些相关的工作.; 关键词：超梯度方法变分不等式黏性方法伪单调算子强收敛

Convergence of the Deep BSDE method for FBSDEs with non-Lipschitz coefficients被引量：1: 《Probability, Uncertainty and Quantitative Risk》2021年第4期391-408,共18页Yifan Jiang Jinfeng Li; the EPSRC Centre for Doctoral Training in Mathematics of Random Systems:Analysis,Modelling,and Simulation(Grant No.EP/S023925/1).; This paper is dedicated to solving high-dimensional coupled FBSDEs with non- Lipschitz diffusion coefficients numerically. Under mild conditions, we provided a posterior estimate of the numerical solution that holds f...; 关键词：Forward-backward SDEs Deep neural networks Stochastic control

Invasive-invaded system of non-Lipschitz porous medium equations with advection: 《International Journal of Biomathematics》2021年第7期299-327,共29页Jose Luis Diaz Palencia; This work provides analytical results towards applications in the field of invasive-invaded systems modeled with nonlinear diffusion and with advection.The results focus on showing regularity,existence and uniqueness ...; 关键词：NONLINEARITY reaction ABSORPTION coupled system diffusion porous media

Smoothing Neural Network for Non-Lipschitz Optimization with Linear Inequality Constraints被引量：1: 《Chinese Journal of Electronics》2021年第4期634-643,共10页YU Xin WU Lingzhen XIE Mian WANG Yanlin XU Liuming LU Huixia XU Chenhua; supported by the the Natural Science Foundation of China(No.61862004)。; This paper presents a smoothing neural network to solve a class of non-Lipschitz optimization problem with linear inequality constraints.The proposed neural network is modelled with a differential inclusion equation,w...; 关键词：Non-Lipschitz optimization Neural networks Stationary points CONVERGENCE

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