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 “Difference equations of Volterra type and extension of Lyapunov's method.”
Boundedness and stability in nonlinear delay difference equations employing fixed point theory.
Stability of Volterra difference delay equations.
Yankson, Ernest (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Stability in discrete equations with variable delays.
Yankson, E. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations.
Shaikhet, Leonid E., Roberts, Jason A. (2006)
Advances in Difference 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).
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 asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices.
Murakami, Satoru, Nagabuchi, Yutaka (2008)
Advances in Difference Equations [electronic only]
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Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis.
Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
Youssef N. Raffoul (2016)
Archivum Mathematicum
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In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.