Boundedness and stability in nonlinear delay difference equations employing fixed point theory.
Islam, Muhammad, Yankson, Ernest (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Stability of Volterra difference delay equations.”
Boundedness and stability in nonlinear delay difference equations employing fixed point theory.
Stability in discrete equations with variable delays.
Yankson, E. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Stability in linear neutral difference equations with variable delays
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).
Difference equations of Volterra type and extension of Lyapunov's method.
Zouyousefain, M. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Addendum to asymptotic stability in differential equations with unbounded delay.
Burton, T.A., Somolinos, Alfredo (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On Exponential Stability of Volterra Difference Equations with Infinite Delay
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.
Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals
Youssef Raffoul, Habib Rai (2016)
Nonautonomous Dynamical Systems
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In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-differential equation [...]
A generalized Halanay inequality for stability of nonlinear neutral functional differential equations.
Wang, Wansheng (2010)
Journal of Inequalities and Applications [electronic only]
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Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
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.