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SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
作者:  Magron, Victor;  Wang, Jie
收藏  |  浏览/下载：120/0  |  提交时间：2023/02/07
Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
作者:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
作者:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
收藏  |  浏览/下载：176/0  |  提交时间：2020/01/10
Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition  
Numerical Solution to Optimal Feedback Control by Dynamic Programming Approach: A Local Approximation Algorithm 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 4, 页码: 782-802
作者:  Guo Bao-Zhu;  Wu Tao-Tao
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Curse of dimensionality  Hamilton-Jacobi-Bellman equation  optimal feedback control  upwind finite difference  viscosity solutions.  
Variational Analysis of the Ky Fan k-norm 期刊论文
SET-VALUED AND VARIATIONAL ANALYSIS, 2017, 卷号: 25, 期号: 2, 页码: 265-296
作者:  Ding, Chao
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
Ky Fan k-norm  Nondegeneracy  Critical cone  Second order tangent sets  
numericalsolutiontooptimalfeedbackcontrolbydynamicprogrammingapproachalocalapproximationalgorithm 期刊论文
journalofsystemsscienceandcomplexity, 2017, 卷号: 30, 期号: 4, 页码: 782
作者:  Guo Baozhu;  Wu Taotao
收藏  |  浏览/下载：113/0  |  提交时间：2020/01/10
Pseudo-effective and nef cones on spherical varieties 期刊论文
MATHEMATISCHE ZEITSCHRIFT, 2015, 卷号: 280, 期号: 3-4, 页码: 945-979
作者:  Li, Qifeng
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Existence of positive solutions for a general nonlinear eigenvalue problem 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 卷号: 27, 期号: 3, 页码: 367-372
作者:  Cheng, Xi-you;  Zhang, Zhi-tao
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
unbounded linear operator  fixed point index  positive solution  
EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 卷号: 37, 期号: 1, 页码: 103-116
作者:  Zhang, Zhitao;  Cheng, Xiyou
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Positive solutions  elliptic system  fixed point index  
EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 卷号: 34, 期号: 2, 页码: 267-277
作者:  Cheng, Xiyou;  Zhang, Zhitao
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Positive solution  Hammerstein integral equations  fixed point index  product cone