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This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.

Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations.

Shibata, Tetsutaro (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic expansions of canards with poles. Application to the stationary unidimensional Schrödinger equation.

Benoit, E. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Asymptotic expansions of quasiperiodic solutions

L. Chierchia, E. Zehnder (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations.

Kamo, Ken-ichi, Usami, Hiroyuki (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic formulas for solutions of the differential equation with advanced argument ${(x^{'} (t) / r (t))}^{'} + q (t) f (x (g (t))) = 0$

Miloš Ráb (1987)

Archivum Mathematicum

Asymptotic position and shape of the limit cycle in a cardiac rheodynamic model.

Feng, Bei-Ye (2006)

Applied Mathematics E-Notes [electronic only]

Asymptotic properties of derivatives of central dispersions of the $k$ -th kind for the differential equation $y^{''} = q (t) y$

Staněk, Svatoslav (1977)

Czechoslovak Mathematical Journal

Asymptotic properties of differential equations with deviating argument

Jozef Džurina (1995)

Czechoslovak Mathematical Journal

Asymptotic properties of dispersions of the differential equations $y^{''} = q (t) y$

Staněk, Svatoslav (1975)

Archivum Mathematicum

Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations.

Gühring, Gabriele, Räbiger, Frank (1999)

Abstract and Applied Analysis

Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term

Ján Andres (1988)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Asymptotic properties of solutions of an $n$ -th order nonlinear differential equation with deviating argument

Vincent Šoltés (1981)

Archivum Mathematicum

Asymptotic properties of solutions of differential systems with deviating argument

Božena Mihalíková (1989)

Czechoslovak Mathematical Journal

Asymptotic properties of solutions of functional differential systems

Anatolij F. Ivanov, Pavol Marušiak (1992)

Mathematica Bohemica

In the paper we study the existence of nonoscillatory solutions of the system $x_{i}^{(n)} (t) = \sum_{j = 1}^{2} p_{i j} (t) f_{i j} (x_{j} (h_{i j} (t))), n \geq 2, i = 1, 2$ , with the property $l i m_{t \to \infty} x_{i} (t) / t^{k_{i}} = c o n s t \neq 0$ for some $k_{i} \in {1, 2, ..., n - 1}, i = 1, 2$ . Sufficient conditions for the oscillation of solutions of the system are also proved.

Asymptotic properties of solutions of the $n$ th order differential equation with delayed argument

Marián Rusnák, Vincent Šoltés (1989)

Mathematica Slovaca

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