Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities

DOI10.1007/S11253-018-1455-6zbMath1406.34079OpenAlexW2800330655MaRDI QIDQ1617848

A. G. Chernikova, Vyacheslav Mikhaĭlovich Evtukhov

Publication date: 8 November 2018

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

Full work available at URL: https://doi.org/10.1007/s11253-018-1455-6

zbMATH Keywords

asymptotic representationsecond-order differential equationexistence conditionrapidly varying nonlinearity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Rapidly varying solutions of a second-order differential equation with regularly and rapidly varying nonlinearities ⋮ On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities

Cites Work

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• Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities
• Asymptotic representations of solutions of essentially nonlinear second-order differential equations
• Asymptotic representations of solutions of two-term nonautonomous \(n\)th-order ordinary differential equations with exponential nonlinearity
• On solutions decaying at infinity of real nonautonomous systems of quasilinear differential equations
• Regular variation and differential equations
• Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point

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