Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities

DOI10.1007/S10958-019-04546-WzbMath1445.34083OpenAlexW2982032774MaRDI QIDQ2284506

Vyacheslav Mikhaĭlovich Evtukhov, Nataliya Pavlovna Kolun

Publication date: 15 January 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-019-04546-w

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 (1)

Asymptotic behavior of some types of solutions of differential equations with different types of nonlinearities

Cites Work

• Asymptotic representations of solutions of essentially nonlinear second-order differential equations
• On solutions decaying at infinity of real nonautonomous systems of quasilinear differential equations
• Regular variation and differential equations
• On the asymptotics of solutions of 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 behavior of unbounded solutions of essentially nonlinear second-order differential equations. II
• Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I

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