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with Volterra operator as keyword

On a Family of Volterra Cubic Stochastic Operators

Published in Lobachevskii Journal of Mathematics

AbstractIn present paper we consider a family of discrete time Kolmogorov systems of three interaction population depending on a parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}...

On a Non-Volterra Cubic Stochastic Operator

Published in Lobachevskii Journal of Mathematics

AbstractIn the present paper we consider a family of non-Volterra cubic stochastic operators depending on a parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\t...

Certain Polynomial Stochastic Operators

Published in Mathematical Notes

Spectral Analysis and Solvability of Volterra Integro-Differential Equations

Published in Doklady Mathematics

AbstractIntegro-differential equations with unbounded operator coefficients in a Hilbert space are studied. The equations under consideration are abstract hyperbolic equations perturbed by terms containing Volterra integral operators. These equations are operator models of integro-differential equations with partial derivatives arising in the theor...

A note about Volterra operator

Published in Mathematica Slovaca

Let V denote the classical Volterra operator on L2[0,1] and let z1,z2 be arbitrary complex numbers. We investigated the operator norm of z1⁢V+z2⁢V*$ z_{1}V+z_{2}V^{*} $.

Modeling of Tool Wear: Irreversible Energy Transformations

Published in Russian Engineering Research

Modeling of the wear at the rear tool face in the turning of metals is based on an integral Volterra operator of the second kind. That permits adequate formal representation of tool wear in terms of the work and the power of irreversible energy transformations in the cutting zone.

The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs

Published in Neural Computing and Applications

Many problems arising in different fields of sciences and engineering can be reduced, by applying some appropriate discretization, either to a system of integrodifferential algebraic equations or to a sequence of such systems. The aim of the present analysis is to implement a relatively recent computational method, reproducing kernel Hilbert space,...