Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients

Matarazzo, Giovanni; Mitropolskiy, Y. A.; Pompei, A.; Samoylenko, V. H. R.

doi:10.1007/s11072-005-0026-6

The object of this paper is to study the problem of constructing an approximate solution of a first-order weakly nonlinear ordinary differential equation with deviating argument and slowly varying coefficients. On the basis of asymptotic techniques in nonlinear mechanics, we construct an algorithm for the asymptotic integration of the differential equation under consideration.

Titolo:	Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
Autori:	MATARAZZO, Giovanni Y. A. MITROPOLSKIY A. POMPEI V. H.R. SAMOYLENKO mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2004
Rivista:	NONLINEAR OSCILLATIONS
Abstract:	The object of this paper is to study the problem of constructing an approximate solution of a first-order weakly nonlinear ordinary differential equation with deviating argument and slowly varying coefficients. On the basis of asymptotic techniques in nonlinear mechanics, we construct an algorithm for the asymptotic integration of the differential equation under consideration.
Handle:	http://hdl.handle.net/11386/1064541
Appare nelle tipologie:	1.1.2 Articolo su rivista con ISSN

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