On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation

DOI10.1134/S1990478919030062zbMath1438.34220OpenAlexW2971274575WikidataQ115247408 ScholiaQ115247408MaRDI QIDQ4973182

Yu. A. Khazova, I. A. Uvarova, Gennadii V. Demidenko

Publication date: 2 December 2019

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478919030062

zbMATH Keywords

delay equationapproximation estimateglobal limit theoremsystem of ordinary differential equations of high dimension

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) General theory of functional-differential equations (34K05)

Cites Work

• On a method of approximation of solutions to delay differential equations
• On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations
• Two approximation techniques for functional differential equations
• On the properties of solutions to a class of nonlinear systems of differential equations of large dimension
• Systems of differential equations of higher dimension and delay equations
• The analytical design of an optimal control in the case of constantly acting disturbances
• A class of systems of ordinary differential equations of large dimension
• On the approximate replacement of systems with lag by ordinary dynamical systems
• The approximation of a problem of analytic design of controls in a system with time-lag
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