This paper focuses on a part of the presentation given by the third author at the Shanghai Forum on Industrial and Applied Mathematics(Shanghai 2006).It is related to the existence of a periodic solution of evolution ...This paper focuses on a part of the presentation given by the third author at the Shanghai Forum on Industrial and Applied Mathematics(Shanghai 2006).It is related to the existence of a periodic solution of evolution variational inequalities.The approach is based on the method of guiding functions.展开更多
In this paper, using the Brouwer topological degree, the authors prove an existence result for finite variational inequalities. This approach is also used to obtain the existence of periodic solutions for a class of e...In this paper, using the Brouwer topological degree, the authors prove an existence result for finite variational inequalities. This approach is also used to obtain the existence of periodic solutions for a class of evolution variational inequalities.展开更多
It is proved that if a nonlinear system possesses some group-symmetry, then under certain transversality it admits solutions with the corresponding symmetry. The method is due to Mawhin＇s guiding function one.
基金supported by the Australian Research Council (No. DP077014)the STIC-AMSUD Program"Optimisation nergétique".
文摘This paper focuses on a part of the presentation given by the third author at the Shanghai Forum on Industrial and Applied Mathematics(Shanghai 2006).It is related to the existence of a periodic solution of evolution variational inequalities.The approach is based on the method of guiding functions.
基金Project supported by "Pondation EADS" and "Agence Nationale de la Recherche" under grant ANR NT05-1/43040.
文摘In this paper, using the Brouwer topological degree, the authors prove an existence result for finite variational inequalities. This approach is also used to obtain the existence of periodic solutions for a class of evolution variational inequalities.
基金Supported by National Basic Research Program of China(grant No.2013CB834100)National Natural Science Foundation of China(grant No.11171132),and National Natural Science Foundation of China(grant No.11201173)
文摘It is proved that if a nonlinear system possesses some group-symmetry, then under certain transversality it admits solutions with the corresponding symmetry. The method is due to Mawhin＇s guiding function one.
