A stability theory for perturbed differential equations.
Gordon, Sheldon P. (1979)
International Journal of Mathematics and Mathematical Sciences
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Gordon, Sheldon P. (1979)
International Journal of Mathematics and Mathematical Sciences
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Liu, Xinzhi, Sivasundaram, S. (1995)
International Journal of Mathematics and Mathematical Sciences
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Grujić, L.T. (1997)
International Journal of Mathematics and Mathematical Sciences
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Kaymakçalan, Billûr (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Xinzhi (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Lakshmikantham, V., Vatsala, A.S. (1999)
Journal of Inequalities and Applications [electronic only]
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Venkatesulu, M., Srinivasu, P.D.N. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Lakshmikantham, V., Leela, S., Vasundhara Devi, J. (1999)
Journal of Inequalities and Applications [electronic only]
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Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
Sivasundaram, S., Vassilyev, S. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Kaien, Yang, Guowei (2008)
Journal of Inequalities and Applications [electronic only]
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Burton, T.A., Somolinos, Alfredo (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Venkatesulu, M., Srinivasu, P.D.N. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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