Stability and global attractivity for a class of nonlinear delay difference equations.

Dai, Binxiang; Zhang, Na

Displaying similar documents to “Stability and global attractivity for a class of nonlinear delay difference equations.”

Exponential stability of difference equations with several delays: recursive approach.

Berezansky, Leonid, Braverman, Elena (2009)

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Stability in linear neutral difference equations with variable delays

Abdelouaheb Ardjouni, Ahcene Djoudi (2013)

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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).

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New qualitative methods for stability of delay systems

Erik I. Verriest (2001)

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A qualitative method is explored for analyzing the stability of systems. The approach is a generalization of the celebrated Lyapunov method. Whereas classically, the Lyapunov method is based on the simple comparison theorem, deriving suitable candidate Lyapunov functions remains mostly an art. As a result, in the realm of delay equations, such Lyapunov methods can be quite conservative. The generalization is here in using the comparison theorem directly with a different scalar equation...