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21 papers · 1 filter
Asymptotic expansion of semi-Markov random evolutions
S. Albeverio, V. S. Koroliuk, I. V. Samoilenko
Regular and singular parts of asymptotic expansions of semi-Markov random evolutions are given. Regularity of boundary conditions is shown. An algorithm for calculation of initial…
Quasi-Duo Skew Polynomial Rings
Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski
A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynom…
Asymptotic Expansion for the Functional of Markovian Evolution in Rd in the Circuit of Diffusion Approximation
I. V. Samoilenko
Is studied asymptotic expansion for solution of singularly perturbed equation for functional of Markovian evolution in Rd. The view of regular and singular parts of solution is fou…
Stability and stabilizability of mixed retarded-neutral type systems
Rabah Rabah, Grigory M. Sklyar, Pavel Yu. Barkhayev
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term is allowed to be singular. Considering an operator model of the…
Double Ore Extensions versus Iterated Ore Extensions
Paula A. A. B. Carvalho, Samuel A. Lopes, Jerzy Matczuk
Motivated by the construction of new examples of Artin-Schelter regular algebras of global dimension four, J.J. Zhang and J. Zhang (2008) introduced an algebra extension $A_P[y_1,y…
Schur Multipliers and Spherical Functions on Homogeneous Trees
Uffe Haagerup, Troels Steenstrup, Ryszard Szwarc
Let X be a homogeneous tree of degree q+1 (for q between 2 and infinity) and let f be a complex function on X times X for which f(x,y) only depend on the distance between x and y i…