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Journal of Difference Equations and Applications Volume 15, 2009 - Issue 3
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Original Articles

Exponential dichotomy and boundedness for retarded functional difference equations

Fernando Cardoso Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, BrazilView further author information
&
Claudio Cuevas Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, BrazilCorrespondence[email protected]
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Pages 261-290 | Received 25 Sep 2007, Accepted 10 Apr 2008, Published online: 17 Feb 2009

Citations (18)

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Read on this site (4)

Claudio Cuevas, Filipe Dantas & Herme Soto. (2016) Almost Periodicity for a Nonautonomous Discrete Dispersive Population Model. Numerical Functional Analysis and Optimization 37:12, pages 1503-1516.
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Elena Braverman & Illya M. Karabash. (2012) Bohl–Perron-type stability theorems for linear difference equations with infinite delay. Journal of Difference Equations and Applications 18:5, pages 909-939.
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Bogdan Sasu. (2011) Input–output control systems and dichotomy of variational difference equations. Journal of Difference Equations and Applications 17:6, pages 889-913.
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Airton Castro & Claudio Cuevas. (2011) Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time. Journal of Difference Equations and Applications 17:3, pages 327-358.
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Articles from other publishers (14)

Juan J. Nieto, Abdelghani Ouahab & Mohammed A. Slimani. (2018) Existence and boundedness of solutions for systems of difference equations with infinite delay. Glasnik Matematicki 53:1, pages 123-141.
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Aldryn Aparcana, Claudio Cuevas, Hernán Henríquez & Herme Soto. (2018) Fractional evolution equations and applications. Mathematical Methods in the Applied Sciences 41:3, pages 1256-1280.
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Filipe Andrade, Claudio Cuevas, Filipe Dantas & Herme Soto. (2015) L p -boundedness and topological structure of solutions for flexible structural systems . Mathematical Methods in the Applied Sciences 38:18, pages 5139-5159.
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Airton Castro, Claudio Cuevas, Filipe Dantas & Herme Soto. (2014) About the behavior of solutions for Volterra difference equations with infinite delay. Journal of Computational and Applied Mathematics 255, pages 44-59.
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Ravi P. Agarwal, Claudio Cuevas & Carlos LizamaRavi P. Agarwal, Claudio Cuevas & Carlos Lizama. 2014. Regularity of Difference Equations on Banach Spaces. Regularity of Difference Equations on Banach Spaces 119 197 .
Ravi P. Agarwal, Claudio Cuevas & Filipe Dantas. (2012) Almost automorphy profile of solutions for difference equations of Volterra type. Journal of Applied Mathematics and Computing 42:1-2, pages 1-18.
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Claudio Cuevas, Filipe Dantas, Mario Choquehuanca & Herme Soto. (2013) -boundedness properties for Volterra difference equations. Applied Mathematics and Computation 219:12, pages 6986-6999.
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Ravi P. Agarwal, Claudio Cuevas & Miguel V.S. Frasson. (2012) Semilinear functional difference equations with infinite delay. Mathematical and Computer Modelling 55:3-4, pages 1083-1105.
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Adina Luminiţa Sasu & Bogdan Sasu. (2011) Input–output admissibility and exponential trichotomy of difference equations. Journal of Mathematical Analysis and Applications 380:1, pages 17-32.
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Bruno de Andrade & Claudio Cuevas. (2010) -asymptotically -periodic and asymptotically -periodic solutions to semi-linear Cauchy problems with non-dense domain. Nonlinear Analysis: Theory, Methods & Applications 72:6, pages 3190-3208.
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Bogdan Sasu. (2010) Stability of Difference Equations and Applications to Robustness Problems. Advances in Difference Equations 2010:1, pages 869608.
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Bogdan Sasu. (2010) Stability of Difference Equations and Applications to Robustness Problems. Advances in Difference Equations 2010, pages 1-25.
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Bogdan Sasu. (2009) On Exponential Dichotomy of Variational Difference Equations. Discrete Dynamics in Nature and Society 2009, pages 1-18.
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Airton Castro, Claudio Cuevas & Carlos Lizama. (2009) Maximal Regularity of the Discrete Harmonic Oscillator Equation. Advances in Difference Equations 2009, pages 1-14.
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