On the stability of solutions of large-scale systems of impulsive differential equations in critical cases

For a large-scale system of impulsive differential equations, we obtain conditions for the stability of equilibria in the critical case. We use the second Lyapunov method with a vector function whose components are homogeneous functions.

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Bibliographic Details
Published in:Differential equations 2014-04, Vol.50 (4), p.423-433
Main Authors: Dvirnyi, A. I., Slyn’ko, V. I.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Differential equations
Equilibrium
Estimates
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Stability
Studies
Vectors (mathematics)
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Description
Summary:For a large-scale system of impulsive differential equations, we obtain conditions for the stability of equilibria in the critical case. We use the second Lyapunov method with a vector function whose components are homogeneous functions.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266114040016