On a Multivalued Version of the Sharkovskii Theorem and Its Application to Differential Inclusions, Iii

An extension of the celebrated Sharkovskĭı cycle coexisting theorem (see [14]) is given for (strongly) admissible multivalued self-maps in the sense of [8], on a Cartesian product of linear continua. Vectors of admissible self-maps have a triangular structure as in [10]. Thus, we make a joint generalization of the results in [2], [5], [6] (a multivalued case), in [10] (a multidimensional case), and in [15] (a linear continuum case). The obtained results can be applied, unlike in the single-valued case, to differential equations and inclusions.