We characterize the uniform convergence points set of a pointwisely convergent sequence of real-valued functions defined on a perfectly normal space. We prove that if $X$ is a perfectly normal space which can be covered ...

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 ...

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 this paper, the schemes of approximation of linear systems with delays by spesial systems of ordinary differential equations are considered and the connections between their solutions are investigated. Numerical algorithms ...

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 ...

The paper considers averaging in stochastic differential equations without aftereffects under the action of external fixed random variables. Then this technique of proofs is transferred to averaging for stochastic ...

We consider a pseudodifferential equation involving the Riesz operator of fractional differentiation, which is a natural generalization of the well-known equation of fractal diffusion. The fundamental solution of the Cauchy ...

The article compares the effectiveness of Machine Learning Algorithms on the example of Covid-19 distribution data. The following Machine Learning algorithms are considered: Logistic Regression, Support Vector ...

We investigate the boundedness conditions and the methods of construction of a stability domain of linear differential equations with several delays.