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Keywords

stability
Perron principle

Abstract

In this paper we obtain the conditions under which the trivial solution is stable for the following  perturbed differential system :                     where _ constants.  which described the flow rate of liquid or gases between two vessels, we transform this differential system to auxiliary system which gives the stability conditions of solution by Perron principle, these conditions represent stability conditions for required differential system.      
https://doi.org/10.33899/csmj.2009.163828
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