Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.
Eloe, P., Hristova, S.G. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Eloe, P., Hristova, S.G. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gani Tr. Stamov (2009)
Mathematica Bohemica
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We present a result on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations. The result is obtained by means of piecewise continuous Lyapunov functions and a comparison principle.
Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Journal of Inequalities and Applications [electronic only]
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Akça, Haydar, Boucherif, Abdelkader, Covachev, Valéry (2002)
International Journal of Mathematics and Mathematical Sciences
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Wang, Jinrong, Xiang, X., Wei, W. (2008)
Boundary Value Problems [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W. (2008)
Abstract and Applied Analysis
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Fixed Point Theory and Applications [electronic only]
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Wang, Jinrong, Yang, Yanlong (2010)
Discrete Dynamics in Nature and Society
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H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
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Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...
Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Discrete Dynamics in Nature and Society
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