Analysis the solutions of the differential nonlinear equations describing the information spreading process with jump discontinuity

Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2

Abstract

In this paper, we introduce a mathematical model of spreading any type of information. The model has the form of a system of nonlinear differential equations with non-stationary parameters. We have suggested the explicit solutions of the system differential non-linear equations describing the information spreading process. Special case of this model with jump discontinuity is considered. The numerical experiments demonstrated the practical meaning of the offered results. The results can be useful for algorithm development for estimation of dynamic of information spreading process.

Authors and Affiliations

O. G. Nakonechnyi, P. M. Zinko, I. M. Shevchuk

Keywords

Related Articles

Compositions of Dirichlet series similar to the Hadamard compositions, and convergence classes

Let (λn) be a positive sequence increasing to +∞, m≥2 and Dirichlet series Fj(s)=∑∞n=0an,jexp{sλn} (j=1,2,…,m) have the abscissa A∈(−∞,+∞] of absolute convergence. We say that Dirichlet series F(s)=∑∞n=0anexp{sλn} like t...

On interpolation problem with derivative in the space of entire functions with fast-growing interpolation knots

In the paper are obtained the conditions on a sequence (bk,1;bk,2), k∈N, such that the interpolation problem g(λk)=bk,1, g′(λk)=bk,2 has a unique solution in a subspace of entire functions g that satisfy the condition ln...

On convergence of random multiple Dirichlet series

Let Fω(s)=∑∞∥n∥=0f(n)(ω)exp{(λ(n),s)},\ where the exponents λ(n)=(λ(1)n1,…,λ(p)np)∈Rp+, (n)=(n1,…,np)∈Zp+, p∈N, ∥n∥=n1+…+np, and the coefficients f(n)(ω) are pairwise independent random complex variables. In the paper, i...

On the growth of Laplace-Stieltjes integrals

In the paper it is investigated the growth of characteristics of Laplace-Stieltjes integrals I(σ)=∫+∞0f(x)dF(x), where F is a nonnegative nondecreasing unbounded function continuous on the right on [0,+∞) and f is a nonn...

New generalizations of Sierpinski theorem(in Ukrainian)

We introduce the notion of equi-feeblycontinuity which ressembles S. Kempisty's equi-quasicontinuity. Using this fresh notion and weak horizontal quasicontinuity, we obtain new generalizations of Sierpinski theorem on se...

Download PDF file
  • EP ID EP609516
  • DOI 10.15330/ms.51.2.159-167
  • Views 82
  • Downloads 0

How To Cite

O. G. Nakonechnyi, P. M. Zinko, I. M. Shevchuk (2019). Analysis the solutions of the differential nonlinear equations describing the information spreading process with jump discontinuity. Математичні Студії, 51(2), 159-167. https://europub.co.uk/articles/-A-609516