Asymptotic representations of solutions of essentially nonlinear second-order differential equations

DOI10.1134/S0012266107100023zbMath1161.34024MaRDI QIDQ946095

V. M. Khar'kov, Vyacheslav Mikhaĭlovich Evtukhov

Publication date: 22 September 2008

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

zbMATH Keywords

asymptotic representationSchauder-Tychonoff theorem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities ⋮ On the behavior of Kneser solutions of nonlinear ordinary differential equations ⋮ Karamata functions and differential equations: achievements from the 20th century ⋮ Asymptotic representations for the solutions of one class of nonlinear differential equations of the second order ⋮ An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations - the sub-half-linear case ⋮ Asymptotics of slowly varying solutions of ordinary binomial differential equations of the second order with rapidly varying nonlinearity ⋮ On decreasing solutions of second order nearly linear differential equations ⋮ Rapidly varying solutions of a second-order differential equation with regularly and rapidly varying nonlinearities ⋮ On the asymptotics of solutions of second-order differential equations with rapidly varying nonlinearities ⋮ Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities ⋮ Asymptotic representations for the solutions of second-order differential equations with rapidly and regularly varying nonlinearities ⋮ Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities ⋮ Asymptotic behavior of the solutions of third-order differential equations with rapidly varying nonlinearity

Cites Work

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• Asymptotics of solutions of \(y=f(x)\varphi (y)\)
• Existence and asymptotic behavior of proper solutions of a class of second-order nonlinear differential equations
• Asymptotic Behavior of Solutions of $y = \phi (t)f(y)$

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