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Generating Semi-Algebraic Invariants for Non-Autonomous Polynomial Hybrid Systems被引量：1
《Journal of Systems Science & Complexity》2017年第1期234-252,共19页WANG Qiuye LI Yangjia XIA Bican ZHAN Naijun 
supported partly by“973 Program”under Grant No.2014CB340701;by the National Natural Science Foundation of China under Grant Nos.61625205,91418204 and 61625206;by CDZ Project CAP(GZ 1023);by the CAS/SAFEA International Partnership Program for Creative Research Teams;supported partly by the National Natural Science Foundation of China under Grant Nos.11290141,11271034 and 61532019
Hybrid systems are dynamical systems with interacting discrete computation and continuous physical processes, which have become more common, more indispensable, and more complicated in our modern life. Particularly, m...
关键词：Hybrid systems INVARIANTS NON-A utonomous systems polynomial ideals semi-algebraic sets. 
Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations被引量：1
《Science China Mathematics》2010年第8期2045-2059,共15页ZHENG ZuoHuan 1 & LI XiLiang 2 1 Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2 College of Mathematics and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,ChinaAbstract In this article,we aim to establish necessary and sufficient conditions that guarantee the existence of equilibria and continuous equilibria for the continuous skew-product semiflow induced by a class of 
supported by the Key Lab of Random Complex Structures and Data Science,CAS(Grant No.2008DP173182);the National Basic Research Program of China (973 Project)(Grant No.2005CB321902)
non-autonomous finite-delay functional differential equations without any monotone conditions assumed.A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to ...
关键词：continuous EQUILIBRIUM NON-AUTONOMOUS functional differential equations skew-product SEMIFLOWS TOPOLOGICAL dynamics 
The Cauchy problem for non-autonomous nonlinear Schr(o)dinger equations
《Science China Mathematics》2005年第4期522-538,共17页Peter Y. H. Pang 
This work was supported in part by National University of Singapore Academic Research Fund Grant R-146-000-034-112;Wang Youde was further supported in part by the National Key Basic Research Fund G1999075107;the National Science Fund for Distinguished Young Scholars 10025104 of the People's Republic of China.
In this paper we study the Cauchy problem for cubic nonlinear Schr(o)dinger equation with space-and time-dependent coefficients on Rm and Tm. By an approximation argument we prove that for suitable initial values, the...
关键词：NON-AUTONOMOUS Schr(o)dinger equations  LOCAL existence  GLOBAL existence. 
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