Acesso aberto
Acesso está concedido
Somente assinantes
Volume 51, Nº 2 (2016)
- Ano: 2016
- Artigos: 6
- URL: https://journals.rcsi.science/1068-3623/issue/view/14053
Differential Equations
51-57
Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation
Resumo
Using the critical point method, the existence of periodic solutions for second-order nonlinear difference equations containing both advance and retardation is established. The proof is based on the Saddle Point Theorem in combination with variational technique.
58-67
Real and Complex Analysis
On a system of piecewise linear functions with vanishing integrals on R
Resumo
For an admissible sequence T we define an orthonormal system consisting of piecewise linear functions with vanishing integrals on R. Necessary and sufficient conditions on T are found for the corresponding system to be a basis in H1(R).
68-78
On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane
Resumo
Some ω-weighted classes of harmonic functions are introduced in the upper half-plane, the representations of these classes are found. A description of the boundary values of the functions from the considered classes is given by means of a notion of ω-capacity on the real axis, which becomes an analog of Frostman’s α-capacity in a particular case.
79-89
On the convergence of Fejér means of Walsh-Fourier series in the space Hp
Resumo
The main aim of this paper is to find necessary and sufficient conditions for a modulus of continuity of a martingale F ∈ Hp, for which the Fejér means of Walsh-Fourier series converge in Hp-norm, when 0 < p ≤ 1/2.
90-102
Probability Theory and Mathematical Statistics
Simulation of a random fuzzy queuing system with multiple servers
Resumo
The paper considers a queuing system that has k servers and its interarrival times and service times are random fuzzy variables.We obtain a theorem concerning the average chance of the event “r servers (r ≤ k) are busy at time t”, provided that all the servers work independently. We simulate the average chance using fuzzy simulation method and obtain some results on the number of servers that are busy. Some examples to illustrate the simulation procedure are also presented.
103-110