Перейти до основного вмісту
Approximation of non-asymptotic roots of quasipolynomials of neutral-type differential equations with many delays
Matvii Oleksandr Vasyliovych 1
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: approximation, quasipolynomials, neutral-type differential equations
Abstract

The linear system of neutral differential equations with many delays is aproximated by the system of ordinary differential equations. The aproximation scheme of the of nonasymptotic roots of quasipolynomials is investigated for such systems.

References

[1] Bellman R., Cook K.L. Differential-difference equations. - M.: Mir, 1967. - 548 p.

[2] Elsgolts L.E., Norkin S.B. Introduction to the theory of differential equations with deviating argument. - M.: Nauka, 1971. - 296 p.

[3] Cherevko I.M. Approximation of differential equations and approximation of non-asymptotic roots of quasi-polynomials // Nonlinear differential equations and their applications. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1992. - P.74-84.

[4] Cherevko I.M., Piddybna L.A. Approximations of differential-difference equations and calculations of nonasymptotic roots of quasipolynomials // Revue d'analyse numerique et de theorie de l'approximations. - 1999. - 28, N1. - P.15-21.

[5] Matviy O.V., Cherevko I.M. Approximation of systems of differential-difference and difference equations with many delays // Nauk. Bulletin of Chernivtsi University: 3b. scientific pr. Issue 150. Mathematics. - Chernivtsi: Ruta, 2002. - P.50-54.

[6] Piddubna L.A., Cherevko I.M. On approximation of non-asymptotic roots of quasi-polynomials for systems of differential-difference equations of neutral type // Nauk. Bulletin of Chernivtsi University: 3b. scientific pr. Issue 191-192. Mathematics: Ruta, 2004.— P.119-122.

Cite
ACS Style
Matvii , O.V. Approximation of non-asymptotic roots of quasipolynomials of neutral-type differential equations with many delays. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Matvii OV. Approximation of non-asymptotic roots of quasipolynomials of neutral-type differential equations with many delays. Bukovinian Mathematical Journal. 2018; 1(336).
Chicago/Turabian Style
Oleksandr Vasyliovych Matvii . 2018. "Approximation of non-asymptotic roots of quasipolynomials of neutral-type differential equations with many delays". Bukovinian Mathematical Journal. 1 no. 336.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings