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 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.
