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In our paper, we have established criterion of Ψ-Eventual Stability for impulsive differential systems with variable moments of impulses by using piecewise continuous auxiliary functions which are analogous to Lyapunov’s functions. The work of Bainov, Kulev and Soliman has been extended. An example has been given to support the theoretical result. In the example, the zero solution is not stable in the sense of Lyapunov but it is uniformly eventually stable. Moreover a weight function Ψ is also associated with state vectors.
Anju Sood. 2014. \u201cI -Eventual Stability of Differential Systems with Impulses\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 102
Country: India
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Anju Sood, Sanjay K Srivastava (PhD/Dr. count: 0)
View Count (all-time): 138
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Publish Date: 2014 10, Wed
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In our paper, we have established criterion of Ψ-Eventual Stability for impulsive differential systems with variable moments of impulses by using piecewise continuous auxiliary functions which are analogous to Lyapunov’s functions. The work of Bainov, Kulev and Soliman has been extended. An example has been given to support the theoretical result. In the example, the zero solution is not stable in the sense of Lyapunov but it is uniformly eventually stable. Moreover a weight function Ψ is also associated with state vectors.
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