Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities
From MaRDI portal
Publication:642010
DOI10.1134/S001226611105003XzbMath1242.34092OpenAlexW2048526832MaRDI QIDQ642010
A. M. Samoilenko, Vyacheslav Mikhaĭlovich Evtukhov
Publication date: 25 October 2011
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s001226611105003x
Related Items (21)
An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities ⋮ Extremal solutions to a system of n nonlinear differential equations and regularly varying functions ⋮ Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Karamata functions and differential equations: achievements from the 20th century ⋮ Asymptotic representation of the solutions of differential equations with regularly varying nonlinearities ⋮ Asymptotic behavior of some types of solutions of differential equations with different types of nonlinearities ⋮ Asymptotics of slowly varying solutions of ordinary binomial differential equations of the second order with rapidly varying nonlinearity ⋮ Unnamed Item ⋮ On the asymptotics of solutions of nonautonomous differential equations of order \(n\) ⋮ Asymptotics of decreasing solutions of coupled \(p\)-Laplacian systems in the framework of regular variation ⋮ 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 ⋮ Increasing solutions of Thomas-Fermi type differential equations--the superlinear case ⋮ Asymptotic behavior of solutions of ordinary differential equations of the \(n\) th order with regularly varying nonlinearities ⋮ Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities ⋮ An Asymptotic Analysis of Solutions of a Second Order Nonlinear Differential Equation ⋮ On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity ⋮ Asymptotic behavior of the solutions of third-order differential equations with rapidly varying nonlinearity ⋮ Unnamed Item
Cites Work
- Asymptotics of solutions of \(y=f(x)\varphi (y)\)
- 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
- Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
- On Asymptotics of Solutions of Nonlinear Differential Equations of the Second Order
- Asymptotic representations of solutions of one class of nonlinear nonautonomous differential equations of the third order
- Asymptotic Behavior of Solutions of $y = \phi (t)f(y)$
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities
