Y. Li et al., PERIODIC-SOLUTIONS FOR FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH INFINITE DELAY, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 37(11), 1994, pp. 1289-1301
By mean of asymptotic fixed point theory, it is established that every
dissipative inclusion (probably with infinite delay) has a periodic s
olution. This provides a theoretical basis for the applications of Lia
punov's second method to multivalued systems. As a result, a positive
answer to Hutson's open problem is given for more general multivalued
systems.