Stability of Volterra difference delay equations.
Yankson, Ernest (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yankson, Ernest (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yankson, E. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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).
Zouyousefain, M. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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Burton, T.A., Somolinos, Alfredo (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gil', Michael, Cheng, Sui Sun (2007)
Discrete Dynamics in Nature and Society
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Moussadek Remili, Lynda Damerdji Oudjedi (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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Murakami, Satoru, Nagabuchi, Yutaka (2008)
Advances in Difference Equations [electronic only]
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Pham Huu Anh Ngoc, Le Trung Hieu (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.