Stability of the null solution of the equation ẋ(t) = -a(t)x(t) + b(t)x([t])

The asymptotic stability of the null solution of the equation ẋ(t) = -a(t)x(t)+b(t)x([t]) with argument [t], where [t] designates the greatest integer function, is studied by means of dichotomic maps. © 2010 Academic Publications.

Bibliographic Details
Authors: Marconato, Suzinei A. S. [UNESP], Bená, Maria A. [UNESP]
Format: article
Status:Published version
Publication Date:2010
Country:Brasil
Institution:Universidade Estadual Paulista (UNESP)
Repository:Repositório Institucional da UNESP
Language:English
OAI Identifier:oai:repositorio.unesp.br:11449/72214
Online Access:http://www.ijpam.eu/contents/2010-63-4/13/13.pdf
http://hdl.handle.net/11449/72214
Access Level:Open access
Keyword:Dichotomic maps
Piecewise constant argument
Stability
Description
Summary:The asymptotic stability of the null solution of the equation ẋ(t) = -a(t)x(t)+b(t)x([t]) with argument [t], where [t] designates the greatest integer function, is studied by means of dichotomic maps. © 2010 Academic Publications.