STABILITY OF INTEGRO DIFFERENTIAL EQUATIONS WITH IMPULSES

Sariyasa .

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


Keywords


impulsive integrodifferential equation, asymptotic stability.

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

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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