In the present note we study an approximate method of solving boundary value problems for delay integro-differential equations based on approximation of the solution by cubic splines with defect two.

In the present paper, we consider applications of the approximation schemes for differential-difference equations to approximate finding nonasymptotic roots of quasipolynomials and analysis of stability for solutions of ...

In this paper, an algorithm for researching the stability of linear systems using a computer is proposed. The stability of systems with delay is reduced to finding the limit conditions for the negatives of the real parts ...

The global pandemic COVID-19, which began in 2020, has brought about new challenges to Ukraine’s higher and postgraduate education institutions. Despite the previous experience of providing online education courses, one ...

n this research, we used the method of mobile cellular automata to study the dynamics of COVID-19. A number of simulation scenarios that take into account different quarantine restrictions are considered and compared. The ...

Using the approximate finding algorithms for non-asymptotic roots of quasi-polynomials, a way for construct ing the coefficient areas of stability for linear differential equations with delay and finding the set of delay ...

In this paper, the schemes of approximation of linear systems with delays by special systems of ordinary differential equations are considered and the connections between their solutions are investigated. This allowed ...

The obtained algorithms for finding non-asymptotic quasipolynomial roots and constructing regions of stability of linear delay differential equations can be used to study applied problems of optimal control, modeling of ...

This paper investigates the application of approximation schemes for differential-difference equations to construct algorithms for the approximate finding of nonsymptotic roots of quasipolynomials and their application ...