Analysis the solutions of the differential nonlinear equations describing the information spreading process with jump discontinuity |
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| Author |
a.nakonechniy@gmail.com1, petro.zinko@gmail.com2, shevchuk.juli@ukr.net3
Taras Shevchenko National University of Kyiv,
Department of System Analysis and Decision Making Theory,
Kyiv, Ukraine
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| 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.
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| Keywords |
non-linear differential equations; stationary and non-stationary parameters; mathematical model
of information spreading process; explicit solutions
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| DOI |
doi:10.15330/ms.51.2.159-167
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| Reference |
1. Lopushanska H.P., Buhrii O.M., Lopushanskyj À.Î., Differential equations and equations of mathematical
physics. Lviv, 2012. (in Ukrainian)
2. Samoilenko A.M., Perestyuk N.A., Parasyuk I.O., Differential equations, Kyiv: Lybid, 2003. (in Ukrainian) 3. Bokalo M.M., Tsebenko A.M. Optimal resource coefficient control in a dynamic population model without initial conditions// Visnyk of the Lviv Univ. Series Mech. Math. – 2016. – V.81. – P. 39–57. 4. Mikhailov A.P., Marevtseva N.A., Models of Information Warfare// Mathematical Models and Computer Simulations. – V.4, ¹3. – 2012. – P. 251–259. 5. Nakonechnyi O.G., Zinko P.M. Confrontation problems with the dynamics Gompertzian systems// Journal of Computational and Applied Mathematics. – 2015. – ¹3(120). – P. 50–60. (in Ukrainian) 6. Nakonechnyi O.G., Shevchuk I.M. Mathematical model of information spreading process with nonstationary parameters// Bulletin of Taras Shevchenko National University of Kiev. Series Physics and Mathematics. – 2016. – ¹3. – P. 98–105. (in Ukrainian) 7. Shevchuk I.M. Stability of solutions of mathematical models of information spreading process with external control// Journal of Computational and Applied Mathematics. – 2017. – ¹1. – P. 99–111. (in Ukrainian) 8. Nakonechnyi O., Shevchuk I. Stability under stocgastic perturbation of solutions of mathematical models of information spreading process with external control// Mathematical Modeling and Computing. – V.5, ¹1. – 2018. – P. 66–73. 9. Samoilenko A.M., Perestyuk N.A., Impulsive differential equations, Singapore: World Scientific, 1995. |
| Pages |
159-167
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| Volume |
51
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| Issue |
2
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| Year |
2019
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |