On some special conditions of $n$-th order non-oscillatory nonlinear systems

M. Shamsul Alam; M. B. Hossain

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

QR
Code

Article

HOME

ALL ARTICLES

View

Commun. Korean Math. Soc. 2003; 18(4): 755-765

Printed December 1, 2003

On some special conditions of $n$-th order non-oscillatory nonlinear systems

M. Shamsul Alam, M. B. Hossain

Bangladesh Institute of Technology, Bangladesh Institute of Technology

Abstract

Go to

Abstract

Krylov-Bogoliubov-Mitropolskii method has been extended to obtain asymptotic solution of $n$-th order nonlinear differential system characterized by certain non-oscillatory processes. The damping force is considered in such a manner that one of the characteristic roots of the linear system becomes small and others are in integral multiple. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical method.

Keywords: asymptotic expansion, non-oscillation, over-damped systems

MSC numbers: 3.40E+06