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Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:  Wang, Bing-Chang;  Huang, Jianhui;  Zhang, Ji-Feng
收藏  |  浏览/下载：172/0  |  提交时间：2021/06/01
Mathematical model  Games  Robustness  Uncertainty  Optimal control  Stochastic processes  Differential equations  Forward-backward stochastic differential equation (FBSDE)  linear quadratic optimal control  mean field control  model uncertainty  social functional variation  
ANALYSIS OF THE MEAN FIELD FREE ENERGY FUNCTIONAL OF ELECTROLYTE SOLUTION WITH NONHOMOGENOUS BOUNDARY CONDITIONS AND THE GENERALIZED PB/PNP EQUATIONS WITH INHOMOGENEOUS DIELECTRIC PERMITTIVITY 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 2, 页码: 1131-1154
作者:  Liu, Xuejiao;  Qiao, Yu;  Lu, Benzhou
收藏  |  浏览/下载：169/0  |  提交时间：2018/07/30
free energy functional  electrolyte  boundary conditions  variable dielectric  generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations  energy law  
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence  
Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 8, 页码: 2045-2059
作者:  Zheng ZuoHuan;  Li XiLiang
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
continuous equilibrium  non-autonomous functional differential equations  skew-product semiflows  topological dynamics  
The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2009, 卷号: 30, 期号: 1, 页码: 17-26
作者:  Hsiao, Ling;  Ju, Qiangchang;  Li, Fucai
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Compressible Navier-Stokes equations  Incompressible Navier-Stokes equations  Low Mach number limit  Modulated energy functional  Strichartz's estimate  
Multiple positive periodic solutions for a class of state-dependent delay functional differential equations with feedback control 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 197, 期号: 1, 页码: 306-316
作者:  Zeng, Zhijun;  Zhou, Zhongcheng
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
state-dependent delay  positive periodic solution  functional differential equations  the Krasnoselskii fixed point theorem  feedback control  
Existence of multiple positive periodic solutions for functional differential equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 卷号: 325, 期号: 2, 页码: 1378-1389
作者:  Zeng, Zhijun;  Bi, Li;  Fan, Meng
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
positive periodic solution  functional differential equations  Krasnoselskii fixed point theorem  
Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 225, 期号: 2, 页码: 411-439
作者:  Hsiao, L;  Wang, S
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
quasineutral limit  time-dependent drift-diffusion equations  p-n junction  multiple scaling asymptotic expansions  gimel-weighted Liapunov-type functional  
Stability analysis of numerical methods for systems of functional-differential and functional equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 卷号: 44, 期号: 5-6, 页码: 717-729
作者:  Huang, CM;  Chang, QS
收藏  |  浏览/下载：74/0  |  提交时间：2018/07/30
hybrid systems  functional-differential equations  functional equations  linear multistep methods  one-leg methods  Runge-Kutta methods  numerical stability