PRACTICAL STABILITY IN TERMS OF TWO MEASURES FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH “SUPREMUM”

TitlePRACTICAL STABILITY IN TERMS OF TWO MEASURES FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH “SUPREMUM”
Publication TypeJournal Article
Year of Publication2011
AuthorsBAINOV, DRUMI, HRISTOVA, SNEZHANA
Secondary TitleCommunications in Applied Analysis
Volume15
Issue1
Start Page69
Pagination88
Date Published01/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS34D20.
Abstract
In the paper several types of practical stability for impulsive differential equations with “supremum” is introduced. The definitions are based on the application of two different measures for the initial condition and for the solution. This allow us to increase the possibility for applications of the stability. Some sufficient conditions for various types of practical stability in terms of two measures of nonlinear impulsive differential equations with “supremum” are obtained.
The proofs are based on the application of piecewise continuous Lyapunov functions and Razumikhin method. An example illustrates the practical application of the proved results.
URLhttp://www.acadsol.eu/en/articles/15/1/6.pdf
Short TitleDIFFERENTIAL EQUATIONS WITH “SUPREMUM”
Refereed DesignationRefereed
Full Text

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