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Periodic Solutions for Functional Differential Inclusions With Infinite Delay 被引量:1

Periodic Solutions for Functional Differential Inclusions With Infinite Delay
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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.
出处 《Science China Mathematics》 SCIE 1994年第11期1289-1301,共13页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China and doctoral Fund of Educational Comnission.
关键词 FUNCTIONAL differential INCLUSION PERIODIC solution ASYMPTOTIC fixed point theory Hutson’s open problem. functional differential inclusion,periodic solution,asymptotic fixed point theory,Hutson's open problem.
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