In the present paper, the method of guiding functions is applied to study the periodic problem for a differential inclusionwith a causal multioperator. At first we consider the case when the multioperator is closed and convexvalued. 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.
Guiding functions and periodic solutions for inclusions with casual multioperators / Kornev, Sergei; Obukhovskii, Valeri; Zecca, Pietro. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - ELETTRONICO. - 96:(2017), pp. 418-428. [10.1080/00036811.2016.1139088]
Guiding functions and periodic solutions for inclusions with casual multioperators
ZECCA, PIETRO
2017
Abstract
In the present paper, the method of guiding functions is applied to study the periodic problem for a differential inclusionwith a causal multioperator. At first we consider the case when the multioperator is closed and convexvalued. 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.
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