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Quasi-Periodic Solutions for Differential Equations with an Elliptic-Type Degenerate Equilibrium Point Under Small Perturbations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 卷号: 31, 期号: 2, 页码: 653-681
作者:  Li, Xuemei;  Shang, Zaijiu
收藏  |  浏览/下载:139/0  |  提交时间:2020/01/10
Delay differential equation  Degenerate equilibrium point  Quasi-periodic solution  Perturbation  
ERGODIC APPROXIMATION TO CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 70-95
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载:141/0  |  提交时间:2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
ERROR ANALYSIS FOR D-LEAPING SCHEME OF CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 4, 页码: 1797-1829
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
stochastic delay differential equation  Poisson random measure  D-leaping  mean-square strong convergence order  weak convergence order  Malliavin calculus  
Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type 期刊论文
Journal of Inequalities and Applications, 2012, 卷号: 2012, 期号: 1
作者:  Song,Minghui;  Liu,Mingzhu
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
stability  oscillation  delay differential equation  piecewise continuous arguments  
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence  
Spectral methods for pantograph-type differential and integral equations with multiple delays 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2009, 卷号: 4, 期号: 1, 页码: 49-61
作者:  Ali, Ishtiaq;  Brunner, Hermann;  Tang, Tao
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Delay differential equation  Volterra functional integral equation  multiple vanishing delays  Legendre spectral method  convergence analysis  
Linear stability of general linear methods for systems of neutral delay differential equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2001, 卷号: 14, 期号: 8, 页码: 1017-1021
作者:  Huang, CM;  Chang, QS
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30
neutral delay differential equation  stability  general linear methods  
D-convergence of general linear methods for stiff delay differential equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 卷号: 41, 期号: 5-6, 页码: 627-639
作者:  Huang, CM;  Chen, GN;  Li, SF;  Fu, HY
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
delay differential equation  convergence  general linear methods  
Regularity properties of one-leg methods for delay differential equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 卷号: 41, 期号: 3-4, 页码: 363-372
作者:  Xiao, AG;  Tang, YF
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
one-leg method  delay differential equation  regularity  spurious solution  variable timestep