Differential equations with composition of discontinuous functions and distributions in the right-hand part are considered. It is shown that the approach based on approximation with delay differential equations is the partial case of the average-out finite-difference approach
General approach to constructing numerical methods for functional-differential equations is consider...
A. I. Zhuk, E. N. Zashchuk. Associated solutions of multivariate differential equation
The estimates of the rate of the approximation by the truncated Fourier type operators are proved fo...
Differential equations with composition of discontinuous functions and distributions in the right-ha...
The conditions on the approximation of the solution of Ito stochastic differential equation by the s...
The approximation of solution of stochastic differential equation in Ito’s form is considered
Concepts of the regulated distribution and its derivative are defined. The solvability of abstract d...
There is found the rate of approximation by special rational operators for functions with derivative...
It is constructed general solution for Riemann boundary value problem with a coefficient discontinuo...
In this paper, we initiate studies of property of uniformly integral continuity of solutions for non...
Recursive type numerical algorithms for initial value problem in case of normal form first order ord...
The method for the numerical solution of the initial value problem for the systems of ordinary diffe...
Kuzmina Elena Viktorovna. Solutions of a differential equation with a meromorphic coefficient in the...
In this article an algorithm of calculating a density and a function of distribution for symmetric s...
The asymptotical partial stability problem for a solution of a differential-difference equation with...
General approach to constructing numerical methods for functional-differential equations is consider...
A. I. Zhuk, E. N. Zashchuk. Associated solutions of multivariate differential equation
The estimates of the rate of the approximation by the truncated Fourier type operators are proved fo...
Differential equations with composition of discontinuous functions and distributions in the right-ha...
The conditions on the approximation of the solution of Ito stochastic differential equation by the s...
The approximation of solution of stochastic differential equation in Ito’s form is considered
Concepts of the regulated distribution and its derivative are defined. The solvability of abstract d...
There is found the rate of approximation by special rational operators for functions with derivative...
It is constructed general solution for Riemann boundary value problem with a coefficient discontinuo...
In this paper, we initiate studies of property of uniformly integral continuity of solutions for non...
Recursive type numerical algorithms for initial value problem in case of normal form first order ord...
The method for the numerical solution of the initial value problem for the systems of ordinary diffe...
Kuzmina Elena Viktorovna. Solutions of a differential equation with a meromorphic coefficient in the...
In this article an algorithm of calculating a density and a function of distribution for symmetric s...
The asymptotical partial stability problem for a solution of a differential-difference equation with...
General approach to constructing numerical methods for functional-differential equations is consider...
A. I. Zhuk, E. N. Zashchuk. Associated solutions of multivariate differential equation
The estimates of the rate of the approximation by the truncated Fourier type operators are proved fo...