On the properties of solutions to a class of nonlinear systems of differential equations of large dimension

DOI10.1134/S0037446612020085zbMath1264.34127OpenAlexW1976445887MaRDI QIDQ1760500

Irina A. Melnik, Inessa I. Matveeva

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612020085

zbMATH Keywords

delay differential equationlimit theoremssystem of ordinary differential equations of large 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)

Related Items (8)

A class of systems of ordinary differential equations of large dimension ⋮ Systems of differential equations of higher dimension and delay equations ⋮ PROPERTIES OF SOLUTIONS TO ONE CLASS OF NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A PARAMETER ⋮ On Approximate Solutions to One Class of Nonlinear Differential Equations ⋮ Unnamed Item ⋮ Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension ⋮ On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation ⋮ On a system of nonlinear differential equations of high dimension

Cites Work

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• 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
• Solvability of the initial-boundary value Cauchy problem
• QUASI-NONUNIQUENESS IN THE SCATTERED FIELD OF A DIELECTRIC CIRCULAR CYLINDER

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