STABILITY OF INTEGRO DIFFERENTIAL EQUATIONS WITH IMPULSES

Sariyasa .

doi:10.22342/jims.13.1.71.17-26

Sariyasa . ⁽¹⁾

(1) Jurusan Pendidikan Matematika, Universitas Pendidikan Ganesha, Singaraja 81116, Indone- sia., Indonesia

https://doi.org/10.22342/jims.13.1.71.17-26

Issue
Volume 13 Number 1 (April 2007)

Submitted
May 24, 2012

Accepted
July 1, 2012

Published
February 13, 2017

Keywords:

impulsive integrodifferential equation, asymptotic stability.

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Abstract

Sufficient conditions have been derived for the asymptotic stability of the trivial solutions of a class of linear integrodifferential equations under impulsive per-turbations. The sufficient conditions are formulated in terms of the parameters of the equations such that in the absence of the impulsive effects, these conditions are reduced to those of the non-impulsive equations.

doi: http://dx.doi.org/10.22342/jims.13.1.71.17-26

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Authors

Sariyasa .

Jurusan Pendidikan Matematika, Universitas Pendidikan Ganesha, Singaraja 81116, Indone- sia.

penulis@jims-a.org (Primary Contact)

., S. (2017). STABILITY OF INTEGRO DIFFERENTIAL EQUATIONS WITH IMPULSES. Journal of the Indonesian Mathematical Society, 13(1), 17–26. https://doi.org/10.22342/jims.13.1.71.17-26