Dr. Claudio Cuevas

Mathematics Department

Federal University of Pernambuco, Brazil

Associate Professor



1996  Ph.D., Federal University of Pernambuco, Mathematics Department

1990  M.Sc., Federal University of Pernambuco, Mathematics Department

1988  B.Sc., University of Santiago of Chile, Mathematics Department.


  1. Regularity of Di_erence Equations on Banach Spaces, with R.P.Agarwal and C.Lizama, Springer, Cham Heidelberg New York Dordrecht London, 2014, ISBN 978-3-319-06446-8, ISBN 978-3-319-06447-5 (eBook), 232pp, DOI: 10.1007/978-3-319-06447-5.
  2. On fractional heat equations with nonlocal initial conditions, with B de Andrade and H. Soto, Proceedings of the Edinburgh Mathematical Society, Cambridge University Press. DOI:10.1017/S0013091515000590.
  3. Second order abstract neutral functional differential equations, with H. Henriquez,Journal of Dynamics and Di_erential Equations, Springer.
  4. Asymptotic Periodicity for Flexible Structural Systems and Applications, with B. de Andrade, C. Silva and H. Soto, Acta Applicandae Mathematicae, Springer. DOI:10.1007/s10440-015-0032-3.
  5. Lp-boundedness and topological structure of solutions for fexible structural systems, with F. Andrade, F. Dantas and H. Soto, Mathematical Methods in the Applied Sciences,John Wiley & Sons. To appear.
  6. Semi-classical dispersive estimates, with F. Cardoso and G. Vodev, Math. Zeitschrift, Springer-Verlag. DOI: 10.1007/s00209-014-1314-6. Volume 278 (2014), 251-277.
  7. Resolvent estimates for perturbations by large magnetic potentials, with F. Cardoso and G. Vodev, Journal of Mathematical Physics, American Institute of Physics (AIP) Publishing, 55, 023502 (2014), 8pp, DOI: 10.1063/1.4863895.
  8. Asymptotic analysis for Volterra difference equations, with M. Choquehuanca and H. Soto, Asymptotic Analysis, IOS PRESS, The Netherlands, Volume 88 (3) (2014), 125-164, DOI: 10.3233/ASY-131213.
  9. About the behavior of solutions for Volterra difference equations with in_nite delay, with A. Castro, F. Dantas and H. Soto, Journal of Computational and Applied Mathematics, Elsevier, 255 (2014), 44-59, DOI: 10.1016/
  10. Approximate controllability of second-order distributed systems", with H. Henriquez,Mathematical Methods in the Applied Sciences, John Wiley & Sons, Volume 37 (2014), 2372-2392, DOI:10.1002/mma.2983.
  11. High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates", with F. Cardoso and G. Vodev, Annales Henri Poincar_e, Springer Basel AG, 14 (2013), 95-117, DOI 10.1007/s00023-012-0178-8.
  12. Almost automorphy for abstract neutral di_erential equation via control theory, with H. Henriquez, Annali di Matematica Pura ed Applicata, Springer-Verlag, 192 (2013),393-405. DOI: 10.1007/s10231-011-0229-7.
  13. Asymptotically periodic solutions of neutral partial di_erential equations with innite delay, with A. Caicedo, H. Henr__quez, Communications on Pure and Applied Analysis, American Institute of Mathematical Sciences (AIMS), Volume 12, Number5, September 2013, pp. 2031-2068, DOI:10.3934/cpaa.2013.12.
  14. Stabilization of Distributed Control Systems with Delay, with A. Caicedo, H. Henriquez and M. Rabelo, Systems & Control Letters, Elsevier, The Netherlands,Vol. 60 (9) (2011), 675-682, DOI:10.1016/j.sysconle.2011.04.012.
  15. High frequency dispersive estimates for the Schrodinger equation in high dimensions",with F. Cardoso and G. Vodev, Asymptotic Analysis, IOS PRESS, The Netherlands, Volume 71, Number 4, 2011, 207-225, Doi:10.3233/ASY-2010-1020.
  16. Perturbation Theory, Stability, Boundedness and Asymptotic Behavior for SecondOrder Evolution Equation in Discrete Time, with A. Castro, Journal of DifferenceEquations and Applications, Taylor & Francis, London, UK, Vol. 17 (3) 2011, 327-358.
  17. Asymptotic periodicity for some evolution equations in Banach spaces, with R.P.Agarwal, H. Soto and M. El-Gebeily, Nonlinear Analysis, 74 (2011), 1769-1798, DOI: 10.1016/
  18. Existence results for a fractional neutral integro-di_erential equations with statedependent delay", with J.P.C. dos Santos and M. Arjunan, Computer & Mathematicswith Applications, Elsevier, Oxford UK, 62 (2011) 1275-1283.
  19. Mild solutions for impulsive neutral functional di_erential equations with statedependent delay, with G. N'Gu_er_ekata and M. Rabelo, Semigroup Forum, Springer-Verlag, vol. 80, 2010, 375-390.
  20. S-asymptotically-periodic and asymptotically-periodic solutions to semilinear Cauchy problems with non dense domain", with B. de Andrade, Elsevier-USA, Nonlinear Analysis Series A: Theory, Methods and Applications, 72 (2010), 3190-3208, DOI:10.1016/
  21. Semilinear evolutions equations on discrete time and maximal regularity, with C.Lizama, J. Math. Anal. Appl., 361(2010), 234-245, Elsevier-USA.

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