Asymptotic representations of solutions of essentially nonlinear cyclic systems of ordinary differential equations

DOI10.1134/S0012266112050023zbMath1271.34055MaRDI QIDQ1760434

Vyacheslav Mikhaĭlovich Evtukhov, E. S. Vladova

Publication date: 14 November 2012

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

regular variationasymptotic representationnonlinear system of differential equation

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (4)

Strongly increasing solutions of cyclic systems of second order differential equations with power-type nonlinearities ⋮ Asymptotics of the solutions of second-order differential equations with rapidly varying nonlinearity ⋮ Asymptotic behavior of the solutions of nonlinear systems of ordinary differential equations ⋮ Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities

Cites Work

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• Asymptotic representations of solutions of nonautonomous second-order differential equations with nonlinearities close to power-type nonlinearities
• Asymptotic properties of a class of solutions of essential nonlinear second order differential equations
• Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
• Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations

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