Guiding functions and periodic solutions for inclusions with causal multioperators
С. В. Корнев, Valeri Vladimirovich Obukhovskii, Pietro Zecca · Applicable Analysis · 2016
In the present paper, the method of guiding functions is applied to study the periodic problem for a differential inclusion with a causal multioperator. At first we consider the case when the multioperator is closed and convex-valued. Then the case of a non-convex-valued and lower semicontinuous right-hand part is considered. Thereafter, the theory is extended to the case of non-smooth guiding functions.