Stability of Volterra difference delay equations.
Yankson, Ernest (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Boundedness and stability in nonlinear delay difference equations employing fixed point theory.”
Stability of Volterra difference delay equations.
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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Exponential stability of difference equations with several delays: recursive approach.
Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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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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Solution estimates for semilinear difference-delay equations with continuous time.
Gil', Michael, Cheng, Sui Sun (2007)
Discrete Dynamics in Nature and Society
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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.
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
Mimia Benhadri, Tomás Caraballo (2022)
Mathematica Bohemica
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This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.