Asymptotic representations of solutions of nonautonomous second-order differential equations with nonlinearities close to power-type nonlinearities

DOI10.1007/s11072-009-0054-8zbMath1277.34061OpenAlexW2091465210MaRDI QIDQ386538

M. A. Belozerova

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-009-0054-8

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (11)

Asymptotic behavior of one class of solutions of nonlinear nonautonomous second-order differential equations ⋮ Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities ⋮ Asymptotic behavior of the solutions of essentially nonlinear second-order differential equations ⋮ Asymptotic representations of solutions of second-order differential equations ⋮ Asymptotic representations of solutions of nonlinear two term difference equations ⋮ Asymptotic representations of rapidly varying solutions of essentially nonlinear second-order differential equations ⋮ Asymptotic representations for the solutions of one class of nonlinear differential equations of the second order ⋮ Asymptotic behavior of the solutions of essentially nonlinear nonautonomous second-order differential equations close to linear functions ⋮ Asymptotic representations for some classes of solutions of ordinary differential equations of order \(n\) with regularly varying nonlinearities ⋮ Asymptotic representations of solutions of essentially nonlinear cyclic systems of ordinary differential equations ⋮ Asymptotics of the solutions of second-order differential equations with rapidly varying nonlinearity

Cites Work

• On the asymptotics of solutions of nonlinear second-order differential equations
• Existence and asymptotic behavior of proper solutions of a class of second-order nonlinear differential equations
• On Asymptotics of Solutions of Nonlinear Differential Equations of the Second Order
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