On the asymptotics of solutions of nonautonomous differential equations of order \(n\)

DOI10.1007/S10958-013-1534-ZzbMath1307.34073OpenAlexW1976804557MaRDI QIDQ461320

A. M. Klopot

Publication date: 10 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1534-z

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 (2)

Asymptotic behavior of some types of solutions of differential equations with different types of nonlinearities ⋮ Asymptotics of rapidly varying solutions of differential equations asymptotically close to equations with regularly 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 two-term nonautonomous \(n\)th-order ordinary differential equations with exponential nonlinearity
• Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
• Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II
• Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
• Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I
• Regularly varying functions

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