Preface
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2016, Vol 36, Issue 1
Abstract
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Authors and Affiliations
Henryk Hudzik, Grzegorz Lewicki, Julian Musielak, Marian Nowak, Ryszard Płuciennik, Leszek Skrzypczak, Bogdan Szal
On some properties of quotients of homogeneous C(K) spaces
We say that an infinite, zero dimensional, compact Hausdorff space K has property (*) if for every nonempty open subset U of K there exists an open and closed subset V of U which is homeomorphic to K. We show that if K i...
Boundedness of set-valued stochastic integrals
The paper deals with integrable boundedness of Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4], where has not been proved that this integral is integrable bounded. The problem of in...
Spaces of Lipschitz functions on metric spaces
In this paper the universal properties of spaces of Lipschitz functions, defined over metric spaces, are investigated.
Solutions of the Hammerstein equations in BVφ(IAB,R)
In this paper we study existence and uniqueness of solutions for the Hammerstein equation u(x)= v(x) + λ ∫_{I_{a}^{b}}K(x,y)f(y,u(y))dy in the space of function of bounded total φ-variation in the sense of Hardy-Vitali-T...
On properties of set-valued integrals driven by martingales and set-valued stochastic equations
In the paper we study properties of stochastic integrals of Aumann type driven by quadratic variation process and set-valued Itô integral with respect to martingale. Next, the existence, uniqueness and convergence proper...