Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”
Joint Authors
Hristova, Snezhana
Georgieva, A.
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The object of investigations is a system of impulsive differential equations with “supremum.” These equations are not widely studied yet, and at the same time they are adequate mathematical model of many real world processes in which the present state depends significantly on its maximal value on a past time interval.
Practical stability for a nonlinear system of impulsive differential equations with “supremum” is defined and studied.
It is applied Razumikhin method with piecewise continuous scalar Lyapunov functions and comparison results for scalar impulsive differential equations.
To unify a variety of stability concepts and to offer a general framework for the investigation of the stability theory, the notion of stability in terms of two measures has been applied to both the given system and the comparison scalar equation.
An example illustrates the usefulness of the obtained sufficient conditions.
American Psychological Association (APA)
Hristova, Snezhana& Georgieva, A.. 2011. Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-491803
Modern Language Association (MLA)
Hristova, Snezhana& Georgieva, A.. Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”. International Journal of Differential Equations No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-491803
American Medical Association (AMA)
Hristova, Snezhana& Georgieva, A.. Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-491803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491803