摘要
By means of asymptotic fixed point theory,it is established that every dissipative functional differential inclusion (probably with infinite delay) has a periodic solution.This provides a theoretical basis for the applications of Liapunov’s second method to multivalued systems.As a result,a positive answer to Hutson’s open problem is given for more general multivalued systems.
By means of asymptotic fixed point theory,it is established that every dissipative functional differential inclusion (probably with infinite delay) has a periodic solution.This provides a theoretical basis for the applications of Liapunov's second method to multivalued systems.As a result,a positive answer to Hutson's open problem is given for more general multivalued systems.
基金
Project supported by the National Natural Science Foundation of China and doctoral Fund of Educational Comnission.