In this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. These results generalize the results of [17, 20] for differential inclusions with Hukuhara derivative and of [18] for fuzzy differential equations.

We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of CliftonPohl torus; we explicitely compute all of its geodesics.

We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of CliftonPohl torus; we explicitely compute all of its geodesics.

The effective conductivity Kef of porous formations of spatially variable permeability K is determined for media of random two-dimensional and isotropic structures. The medium is modeled as an ensemble of multiphase circular inclusions of different Y = lnK, characterized by a pdf f(Y ), and of different radii R (polydisperse medium), of pdf f(R|Y ), which are implanted in a matrix of K = K0. A ...

Vector sequences which are stationary with respect to polynomial hypergroups arise in various fields, such as stochastic processes and difference equations. In this paper, we discuss analytic properties of these sequences, namely the representation and complexification of the vector sequence.