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DISCRETE: 作品数：1293被引量：1675H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：潘和平孟庆鑫郑洲顺郑珊王爽更多>>; 相关机构：南京航空航天大学清华大学西安交通大学东南大学更多>>; 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国家教育部博士点基金中国博士后科学基金更多>>

A Compact Difference Scheme on Graded Meshes for the Nonlinear Fractional Integro-differential Equation with Non-smooth Solutions: 《Acta Mathematicae Applicatae Sinica》2022年第3期601-613,共13页Da-kang CEN Zhi-bo WANG Yan MO; supported by the National Natural Science Foundation of China(No.11701103,11801095);Young Top-notch Talent Program of Guangdong Province(No.2017GC010379);Natural Science Foundation of Guangdong Province(No.2022A1515012147,2019A1515010876,2017A030310538);the Project of Science and Technology of Guangzhou(No.201904010341,202102020704);the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(2021023)。; In this paper,a compact finite difference scheme for the nonlinear fractional integro-differential equation with weak singularity at the initial time is developed,with O(N^(-(2-α))+M^(-4))accuracy order,where N;M den...; 关键词：nonlinear fractional integro-differential equation graded meshes discrete fractional Gr?nwall inequality compact difference scheme stability and convergence

How Fast Does It Diverge? Discrete Hedging Error with Transaction Costs: 《Acta Mathematicae Applicatae Sinica》2021年第3期548-572,共25页Lan WU Shuo WU; In the present paper,we focus on the diverging behavior of discrecte hedging error with transaction costs.We added the hedging cost to the error directly.The main idea is to divide the hedging error into two parts:the...; 关键词：discrete hedging transaction costs hedging error diverging speed

Solutions in the Discrete Fractional Forms of Two Differential Equations with Singular Points: 《Acta Mathematicae Applicatae Sinica》2020年第4期975-981,共7页Okkes OZTURK; In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of as...; 关键词：fractional calculus discrete fractional calculus discrete fractional solutions nabla operator

Solutions in the Discrete Fractional Forms of Two Differential Equations with Singular Points: 《Acta Mathematicae Applicatae Sinica》2019年第3期638-644,共7页Okkes OZTURK; In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of as...; 关键词：FRACTIONAL CALCULUS DISCRETE FRACTIONAL CALCULUS DISCRETE FRACTIONAL SOLUTIONS Nabla operator

Standing Waves for Discrete Nonlinear Schrodinger Equations with Nonperiodic Bounded Potentials: 《Acta Mathematicae Applicatae Sinica》2019年第2期374-385,共12页Tie-shan HE Meng ZHANG Kai-hao LIANG Peng-fei GUO; Supported by Science and technology plan foundation of Guangzhou(No.201607010218);by Public Research&Capacity-Building Project of Guangdong(No.2015A070704059).; In this paper, we investigate standing waves in discrete nonlinear Schr?dinger equations with nonperiodic bounded potentials. By using the critical point theory and the spectral theory of self-adjoint operators, we pr...; 关键词：Discrete nonlinear Schrodinger equation Standing wave Nonperiodic bounded potential Sign-changing solution Critical point theory

Bifurcations and Chaos of a Discrete Mathematical Model for Respiratory Process in Bacterial Culture: 《Acta Mathematicae Applicatae Sinica》2014年第4期871-886,共16页Xiang-ling FU Jin DENG; Supported by the National Natural Science Foundation of China(10671063 and 10801135);the Scientific Research Foundation of Hunan Provincial Education Department(09C255); The discrete mathematical model for the respiratory process in bacterial culture obtained by Euler method is investigated. The conditions of existence for flip bifurcation and Hopf bifurcation are derived by using cen...; 关键词：MAP flip bifurcation Hopf bifurcation Marotto＇s chaos CHAOS

Bifurcations and Chaos in a Nonlinear Discrete Time Cournot Duopoly Game被引量：1: 《Acta Mathematicae Applicatae Sinica》2014年第4期951-964,共14页Ying-hui GAO Bing LIU Wei FENG; Supported by the National Natural Science Foundation of China(Nos.11101021,11372017);the National Scholarship Fund of China(201303070219); A nonlinear discrete time Cournot duopoly game is investigated in this paper. The conditions of existence for saddle-node bifurcation, transcritical bifurcation and flip bifurcation are derived using the center manifo...; 关键词：discrete Cournot duopoly game BIFURCATION Marotto chaos

Nonlinear Discrete Inequality in Two Variables with Delay and Its Application: 《Acta Mathematicae Applicatae Sinica》2014年第2期389-400,共12页Hong WANG Ke-long ZHENG Chun-xiang GUO; Supported by Doctoral Program Research Foundation of Southwest University of Science and Technology(No.11zx7129);Fundamental Research Funds for the Central Universities(No.skqy201324); Delay discrete integral inequalities with n nonlinear terms in two variables are discussed, which generalize some existing results and can be used as powerful tools in the analysis of certain partial difference equati...; 关键词：discrete inequality NONLINEAR DELAY BOUNDEDNESS

Nonlinear Discrete Inequalities of Bihari-type and Applications: 《Acta Mathematicae Applicatae Sinica》2013年第3期603-614,共12页Yu WU; Supported by the Program of Education Department of Sichuan Province(No.10ZA173); Discrete Bihari-type inequalities with n nonlinear terms are discussed, which generalize some known results and may be used in the analysis of certain problems in the theory of difference equations. Examples to illust...; 关键词：discrete inequality Bihari’s type NONLINEAR MONOTONICITY

Standing Waves for Periodic Discrete Nonlinear Schrdinger Equations with Asymptotically Linear Terms: 《Acta Mathematicae Applicatae Sinica》2012年第2期351-360,共10页Wen-xiong Chen Min-bo Yang; Supported by the National Natural Science Foundation of China (No. 10971194);the Science Foundation of Huaqiao University,the Natural Science Foundation of Zhejiang Province (No. Y7080008,No. R6090109);Zhejiang Innovation Project (No. T200905); In this paper we study the existence of nontrivial solutions for the periodic discrete nonlinear equation Lun-un=ωfn（un）,where Lun=an＋1un＋an-1un-1＋bnunis the discrete Laplacian in one spatial dimension. The give...; 关键词：discrete Schrodinger equation critical point LINKING

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