The approximation algorithm of nonasymptotic quasipolinomial's roots of differential-difference equations by neutral type, which based on approximation by system of ordinary differential equations, is investigated in this article.
[1] Pinney E. Ordinary differential difference equations. - M.: IL, 1961. - 248 p.
[2] Bellman R., Cook K.L. Differential-difference equations. - M.: Mir, 1967. - 548 p.
[3] Repin Yu.M. On approximate replacement of systems with delay by ordinary differential equations / / PMM. - 1965. - N 2. - P.226-235.
[4] Poddubna L.A., Cherevko I.M. Approximation of systems of differential equations by systems of ordinary differential equations // Nonlinear oscillations. - 1999. - N 1.- P.42-50.
[5] Bernik V.O., Poddubna L.A., Cherevko I.M. Algorithm for finding non-asymptotic roots of quasi-polynomials // Studies of mathematical models: 3b. scientific works. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1997- P.30-35.
[6] 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, NAS of Ukraine, 1992. - P.74-84.
[7] Poddubna L.A. Approximate finding of non-asymptotic roots of quasi-polynomials of differential-difference equations with many delays // Systems of evolutionary equations with aftereffect. - Kyiv: Institute of Mathematics, NAS of Ukraine, 1994. - P.89-97.
[8] Poddubna L.A., Cherevko I.M. Algorithm of approximation of differential-difference equations and their modeling of electrodynamic processes // Bulletin of Kyiv University. Series: Physical and mathematical sciences. - 1999. - Issue 2. - P.111-118.
[9] Matviy O.V., Cherevko I.M. Approximation of a system of differential equations with many delays / / Scientific Bulletin of Chernivtsi University: 3b. scientific pr. Issue 150. Mathematics. - Chernivtsi: Ruta, 2002. - P.50-54.
[10] Gantmakher F.R. Matrix Theory. - M.: Nauka, 1988. - 552 p.
- ACS Style
- Piddubna, L.A.; Cherevko, I.M. On the approximation of non-asymptotic roots of quasipolynomials for systems of differential equations of neutral type. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Piddubna LA, Cherevko IM. On the approximation of non-asymptotic roots of quasipolynomials for systems of differential equations of neutral type. Bukovinian Mathematical Journal. 2018; 1(191).
- Chicago/Turabian Style
- Larisa Andriivna Piddubna, Igor Mykhailovych Cherevko. 2018. "On the approximation of non-asymptotic roots of quasipolynomials for systems of differential equations of neutral type". Bukovinian Mathematical Journal. 1 no. 191.