Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662319 | Computers & Mathematics with Applications | 2005 | 26 Pages |
Abstract
Effective necessary and sufficient conditions are established for the stability in theLyapunov sense of solutions of the linear system of generalized ordinary differential equations dx(t)=dA(t)â
x(t)+df(t), where A : â+ â ânÃn and Æ: â+ â ân (â+ = [0,+â[) are, respectively, matrix- and vector-functions with bounded total variation components on every closed interval from â+, having properties analogous to the case of systems of ordinary differential equations with constant coefficients. The obtained results are realized for linear systems of both impulsive equations and difference equations.
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Authors
M. Ashordia,