A scheme of higher accuracy for approximate finding of non-asymptotic roots of quasipolynomials for linear differential-difference equations with several delays is constructed and investigated.
[1] Krasovsky N.N. On the approximation of one task of analytical design of regulators in a system with a delay // PMM. - 1964. - Vol. 28, № 4. - P.716-725.
[2] Repin Yu.M.O. approximate replacement of systems with delay by ordinary differential equations // PMM. - 1965. - Vol. 29, № 2. - P. 226 - 245.
[3] Poddubna L.A., Cherevko I.M. Approximation of systems of differential-difference equations by systems of ordinary differential equations / / Nonlinear oscillations. - 1999. - № 1. - P. 42 - 50.
[4] Matviy O.V., Cherevko I.M. On approximation of systems with delay and their stability / Nonlinear oscillations. - 2004. - T. 7, № 2. - P. 2068 -2016.
[5] Matviy O.V., Cherevko I.M. On the approximation of systems of differential equations of neutral type by systems of ordinary differential equations // Nonlinear Oscillations. - 2007. - Vol. 10, № 3. - P. 329 - 335.
[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, Academy of Sciences of Ukraine, 1992. - P. 74-84.
[7] L.A.Piddubna, I.M.Cherevko Approximations of differential-difference equations and calculations of nonasymptotic roots of quasipolynomials // Revue d'analyse numerique et de theorie de l'approximations. - 1999. - Vol. 28, N 1. - P. 15 - 21.
[8] Matviy O.V., Pernay S.A., Cherevko I.M. On the stability of linear systems with delay // Nauk. Bulletin of Chernivtsi University: 3b. nauk, prac. Vyp. 421. Mathematics. - Chernivtsi: Ruta, 2008. - P. 66-70.
- ACS Style
- Matvii , O.V.; Pernay, S.A.; Cherevko, I.M. Approximation of non-asymptotic roots of quasipolynomials of linear differential equations with many delays. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Matvii OV, Pernay SA, Cherevko IM. Approximation of non-asymptotic roots of quasipolynomials of linear differential equations with many delays. Bukovinian Mathematical Journal. 2018; 1(501).
- Chicago/Turabian Style
- Oleksandr Vasyliovych Matvii , Svitlana Anatoliivna Pernay, Igor Mykhailovych Cherevko. 2018. "Approximation of non-asymptotic roots of quasipolynomials of linear differential equations with many delays". Bukovinian Mathematical Journal. 1 no. 501.