Displaying similar documents to “A note on discrete maximal regularity for functional difference equations with infinite delay.”

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.

On the behavior of the solutions to autonomous linear difference equations with continuous variable

Christos G. Philos, Ioannis K. Purnaras (2007)

Archivum Mathematicum

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Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.