Stability and stabilization of impulsive stochastic delay difference equations.
Wu, Kaining, Ding, Xiaohua, Wang, Liming (2010)
Discrete Dynamics in Nature and Society
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Wu, Kaining, Ding, Xiaohua, Wang, Liming (2010)
Discrete Dynamics in Nature and Society
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Chen, Huabin, Zhang, Xiaozhi, Zhao, Yang (2010)
Advances in Difference Equations [electronic only]
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Alzabut, Jehad O., Abdeljawad, Thabet (2007)
Discrete Dynamics in Nature and Society
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Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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Ma, Zhixia, Xu, Liguang (2009)
Advances in Difference Equations [electronic only]
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Arun Kumar Tripathy, Gokula Nanda Chhatria (2020)
Mathematica Bohemica
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We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.
Abdelouaheb Ardjouni, Ahcene Djoudi (2013)
Mathematica Bohemica
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In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Medina, Rigoberto (2004)
International Journal of Mathematics and Mathematical Sciences
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Wang, Chang-You, Wang, Shu, Wang, Zhi-Wei, Gong, Fei, Wang, Rui-Fang (2010)
Discrete Dynamics in Nature and Society
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Medina, Rigoberto (2002)
International Journal of Mathematics and Mathematical Sciences
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He, Danhua, Xu, Liguang (2009)
Journal of Inequalities and Applications [electronic only]
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Shao Yuan Huang, Sui Sun Cheng (2012)
Annales Polonici Mathematici
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Several recent oscillation criteria are obtained for nonlinear delay impulsive differential equations by relating them to linear delay impulsive differential equations or inequalities, and then comparison and oscillation criteria for the latter are applied. However, not all nonlinear delay impulsive differential equations can be directly related to linear delay impulsive differential equations or inequalities. Moreover, standard oscillation criteria for linear equations cannot be applied...