Dr. Claudio Cuevas
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Dr. Claudio Cuevas

Professor
Department of Mathematics, Federal University of Pernambuco, Brazil

Highest Degree
Ph.D. in Mathematics from Federal University of Pernambuco, Brazil

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Biography

Dr. Claudio Cuevas is currently working as Faculty member of Federal University of Pernambuco, Brazil. He has completed his Ph.D. in Mathematics from same University. Previously he was appointed as Visiting Professor at University of La Frontera Temuco, Chile, CNRS Research Fellow at Universite de Nantes Nantes, France, and Visiting Professor at University of ICMC - Sao Carlos, and University of Santiago Santiago, Chile, and Research Visitor at Universite de Nantes, Nantes, France, and Visiting Professor at University of Chile Santiago, Chile. His main area of research interest focuses on Difference Equations, Periodicity and Ergodicity, Dispersive Estimates, Fractional Differential Equations, Functional Differential Equations, and Integral and Integro-Differential Equations. Dr. Claudio received honor includes Prize University of Santiago, Chile, best graduating student, invited as main speakers to several international mathematical congress, and Research Fellow under Agreement Brazil/France in Mathematics, CNPq-CNRS. He is also serving as member of 27 scientific committees. He has published 1 book, and 89 research articles in journals contributed as author/co-author. He also directed 11 PhD thesis, and 1 postdoctoral student. He is member of editorial board in more than 32 journals and referee for 58 journals.

Area of Interest:

Mathematics
100%
Difference Equations
62%
Functional Differential Equations
90%
Integro-Differential Equations
75%
Dispersive Estimates
55%

Research Publications in Numbers

Books
1
Chapters
0
Articles
109
Abstracts
0

Selected Publications

  1. Azevedo, J., C. Cuevas, J. Dantas and C. Silva, 2023. On the fractional chemotaxis Navier-Stokes system in the critical spaces. Am. Inst. Math. Sci., 28: 538-559.
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  2. Bezerra, M., C. Cuevas, C. Silva and H. Soto, 2022. On the fractional doubly parabolic Keller-Segel system modelling chemotaxis. Sci. China Math., 65: 1827-1874.
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  3. Azevedo, J., M. Bezerra, C. Cuevas and H. Soto, 2022. Well-posedness and asymptotic behavior for the fractional Keller-Segel system in critical Besov-Herz-type spaces. Math Methods Appl. Sci., 45: 6268-6287.
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  4. Caicedo, A., C. Cuevas, ô. Mateus and A. Viana, 2021. Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces. Chaos, Solitons Fractals, Vol. 145. 10.1016/j.chaos.2021.110756.
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  5. Cuevas, C., C. Silva and H. Soto, 2020. On the time-fractional Keller-Segel model for chemotaxis. Math. Meth. Appl. Sci., 43: 769-798.
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  6. CecØlio, D.L., C. Cuevas, J.G. Mesquita and P. Ubilla, 2019. Existence of a positive solution and numerical solution for some elliptic superlinear problem. J. Differ. Equations, 266: 1338-1356.
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  7. Azevedo, J., C. Cuevas and E. Henriquez, 2019. Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis. Math. Nachrichten, 292: 462-480.
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  8. Bernardo, F., C. Cuevas and H. Soto, 2018. Qualitative theory for volterra difference equations. Math. Methods Appl. Sci., 41: 5423-5458.
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  9. Aparcana, A., C. Cuevas, H. HenrØquez and H. Soto, 2018. Fractional evolution equations and applications. Math. Methods Appl. Sci., 41: 1256-1280.
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  10. Aparcana, A., C. Cuevas and H. Soto, 2018. About a composite fractional relaxation equation via regularized families. Sci. Iran. Transact. B Mech. Eng., 25: 329-338.
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  11. Siracusa, G., H.R. HenrØquez and C. Cuevas, 2017. Existence results for fractional integro-differential inclusions with state-dependent delay. Nonautonomous Dyn. Syst., 4: 62-77.
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  12. Henriquez, H.R, C. Cuevas, J.C. Pozo and H. Soto, 2017. Existence of solutions for a class of abstract neutral differential equations. Discrete Continuous Dyn. Syst., 37: 2455-2482.
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  13. HenrØquez, H.R. and C. Cuevas, 2017. Second order abstract neutral functional differential equations. J. Dynam. Diff. Equat., 29: 615-653.
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  14. Azevedo, J., C. Cuevas and H. Soto, 2017. Qualitative theory for strongly damped wave equations. Math. Methods Applied Sci. 10.1002/mma.4504.
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  15. Azevedo, J., C. Cuevas and H. Soto, 2017. Qualitative theory for strongly damped wave equations. Math. Method Appl. Sci., 40: 6944-6975.
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  16. De Andrade, B., C. Cuevas, C. Silva and H. Soto, 2016. Asymptotic periodicity for flexible structural systems and applications. Acta Applicandae Mathematicae, 143: 105-164.
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  17. De Andrade, B., C. Cuevas and H. Soto, 2016. On fractional heat equations with non-local initial conditions. Proc. Edinburgh Math. Soc., 59: 65-76.
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  18. Cuevas, C., H. Soto and P. Ubilla, 2016. Discrete problems associated to elliptic equations. Math. Methods Applied Sci., 39: 5557-5569.
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  19. Cuevas, C., F. Dantas and H. Soto, 2016. Almost periodicity for a nonautonomous discrete dispersive population model. Numer. Funct. Anal. Optimiz., 37: 1503-1516.
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  20. Andrade, F., C. Cuevas and H.R. Henriquez, 2016. Periodic solutions of abstract functional differential equations with state-dependent delay. Math. Methods Applied Sci., 39: 3897-3909.
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  21. Henriquez, H.R., C. Cuevas and A. Caicedo, 2015. Almost periodic solutions of partial differential equations with delay. Adv. Difference Equations, Vol. 2015. 10.1186/s13662-015-0388-8.
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  22. Henriquez, H.R. and C. Cuevas, 2015. Second Order Abstract Neutral Functional Differential Equations. J. Dyn. Differ. Equ., 10.1007/s10884-015-9483-5.
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  23. De Andrade, B., C. Cuevas, J. Liang and H. Soto, 2015. Periodicity and ergodicity for abstract evolution equations with critical nonlinearities. Adv. Difference Equations, Vol. 2015. 10.1186/s13662-014-0350-1.
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  24. Aparcana, A., C. Cuevas and H. Soto, 2015. About a composite fractional relaxation equation via regularized families. Trans. Mech. Eng., Q1: 1-9.
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  25. Andrade, F., C. Cuevas, F. Dantas and H. Soto, 2015. Lp-boundedness and topological structure of solutions for flexible structural systems. Math. Methods Applied Sci., 38: 5139-5159.
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  26. Andrade, F., C. Cuevas, C. Silva and H. Soto, 2015. Asymptotic periodicity for hyperbolic evolution equations and applications. Applied Math. Comput., 269: 169-195.
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  27. Ravi, P.A., C. Cuevas and C. Lizama, 2014. Regularity of Difference Equations on Banach Spaces. Springer International Publishing, Switzerland, Pages: 232.
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  28. Henriquez, H.R. and C. Cuevas, 2014. Approximate controllability of second‐order distributed systems. Math. Methods Applied Sci., 37: 2372-2392.
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  29. Cuevas, C., M. Choquehuanca and H. Soto, 2014. Asymptotic analysis for Volterra difference equations. Asymptotic Anal., 88: 125-164.
  30. Cuevas, C., H.R. Henriquez and H. Soto, 2014. Asymptotically periodic solutions of fractional differential equations. Applied Math. Comput., 236: 524-545.
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  31. Castro, A., C. Cuevas, F. Dantas and H. Soto, 2014. About the behavior of solutions for Volterra difference equations with infinite delay. J. Comput. Applied Math., 255: 44-59.
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  32. Cardoso, F., C. Cuevas and G. Vodev, 2014. Semi-classical dispersive estimates. Mathematische Zeitschrift, 278: 251-277.
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  33. Cardoso, F., C. Cuevas and G. Vodev, 2014. Resolvent estimates for perturbations by large magnetic potentials. J. Math. Phys., Vol. 55. 10.1063/1.4863895.
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  34. Henriquez, H.R., C. Cuevas and A. Caicedo, 2013. Asymptotically periodic solutions of neutral partial differential equations with infinite delay. Commun. Pure Applied Anal., 12: 2031-2068.
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  35. Henriquez, H.R. and C. Cuevas, 2013. Almost automorphy for abstract neutral differential equations via control theory. Annali di Matematica Pura ed Applicata, 192: 393-405.
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  36. Cuevas, C., F. Dantas, M. Choquehuanca and H. Soto, 2013. lp-boundedness properties for Volterra difference equations. Applied Math. Comput., 219: 6986-6999.
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  37. Cuevas, C., C. Lizama and H. Soto, 2013. Asymptotic periodicity for strongly damped wave equations. Abstract Applied Anal., Vol. 2013. 10.1155/2013/308616.
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  38. Cuevas, C. and C. Lizama, 2013. Existence of S-asymptotically ω-periodic solutions for two-times fractional order differential equations. Southeast Asian Bull. Math., 37: 683-690.
  39. Cardoso, F., C. Cuevas and G. Vodev, 2013. High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates. Annales Henri Poincare, 14: 95-117.
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  40. Agarwal, R.P., C. Cuevas and F. Dantas, 2013. Almost automorphy profile of solutions for difference equations of Volterra type. J. Applied Math. Comput., 42: 1-18.
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  41. De Andrade, B., C. Cuevas and H. Soto, 2013. On fractional heat equations with non-local initial conditions. Proc. Edinburgh Math. Soc. 10.1017/S0013091515000590.
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  42. De Andrade, B., C. Cuevas and E. Henriquez, 2012. Almost automorphic solutions of hyperbolic evolution equations. Banach J. Math. Anal., 6: 90-100.
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  43. Cuevas, C., H.R. Henriquez and C. Lizama, 2012. On the existence of almost automorphic solutions of Volterra difference equations. J. Difference Equations Applic., 18: 1931-1946.
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  44. Cuevas, C., G.M. N'guerekata and A. Sepulveda, 2012. Pseudo almost automorphic solutions to fractional differential and integro-differential equations. Commun. Applied Anal., 16: 131-152.
  45. Caicedo, A., C. Cuevas, G.M. Mophou and G.M. N'Guerekata, 2012. Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces. J. Franklin Inst., 349: 1-24.
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  46. Andrade, B., C. Cuevas and E. Henriquez, 2012. Asymptotic periodicity and almost automorphy for a class of Volterra integro‐differential equations. Math. Methods Applied Sci., 35: 795-811.
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  47. Agarwal, R.P., J.P.C. dos Santos and C. Cuevas, 2012. Analytic resolvent operator and existence results for fractional integro-differential equations. J. Abstract Differential Equations Applic., 2: 26-47.
  48. Agarwal, R.P., C. Cuevas and M.V. Frasson, 2012. Semilinear functional difference equations with infinite delay. Math. Comput. Model., 55: 1083-1105.
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  49. Henriquez, H.R., C. Cuevas, M. Rabelo and A. Caicedo, 2011. Stabilization of distributed control systems with delay. Syst. Control Lett., 60: 675-682.
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  50. Dos Santos, J.P.C., M.M. Arjunan and C. Cuevas, 2011. Existence results for fractional neutral integro-differential equations with state-dependent delay. Comput. Math. Applic., 62: 1275-1283.
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  51. Dos Santos, J.P.C., C. Cuevas and B. de Andrade, 2011. Existence results for a fractional equations with state-dependent delay. Adv. Difference Equations, Vol. 2011. 10.1155/2011/642013.
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  52. Cuevas, C., M. Pierri and A. Sepulveda, 2011. Weighted S-asymptotically ω-periodic solutions of a class of fractional differential equations. Adv. Difference Equations, Vol. 2011. .
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  53. Cuevas, C., A. Sepulveda and H. Soto, 2011. Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations. Applied Math. Comput., 218: 1735-1745.
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  54. Cuevas, C. and H. Henriquez, 2011. Solutions of second order abstract retarded functional differential equations on the line. J. Nonlinear Convex Anal., 12: 225-240.
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  55. Castro, A. and C. Cuevas, 2011. Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time. J. Difference Equations Applic., 17: 327-358.
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  56. Caicedo, A., C. Cuevas and H.R. Henriquez, 2011. Asymptotic periodicity for a class of partial integrodifferential equations. ISRN Math. Anal., Vol. 2011. 10.5402/2011/537890.
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  57. Agarwal, R.P., C. Cuevas, H. Soto and M. El-Gebeily, 2011. Asymptotic periodicity for some evolution equations in Banach spaces. Nonlinear Anal.: Theory Methods Applic., 74: 1769-1798.
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  58. Agarwal, R.P., C. Cuevas and H. Soto, 2011. Pseudo-almost periodic solutions of a class of semilinear fractional differential equations. J. Applied Math. Comput., 37: 625-634.
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  59. Agarwal, R.P., B. de Andrade, C. Cuevas and E. Henriquez, 2011. Asymptotic periodicity for some classes of integro-differential equations and applications. Adv. Math. Sci. Applic., 21: 1-31.
  60. Henriquez, H. and C. Cuevas, 2010. Approximate controllability of abstract discrete-time systems. Adv. Difference Equations, Vol. 2010. 10.1155/2010/695290.
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  61. Dos Santos, J.P.C. and C. Cuevas, 2010. Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations. Applied Math. Lett., 23: 960-965.
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  62. De Andrade, B. and C. Cuevas, 2010. S-asymptotically ω-periodic and asymptotically ω-periodic solutions to semi-linear Cauchy problems with non-dense domain. Nonlinear Anal.: Theory Methods Applic., 72: 3190-3208.
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  63. Cuevas, C., M. Rabelo and H. Soto, 2010. Pseudo-almost automorphic solutions to a class of semilinear fractional differential equations. Commun. Applied Nonlinear Anal., 17: 31-48.
  64. Cuevas, C., L. del Campo and C. Vidal, 2010. Weighted exponential trichotomy of difference equations and asymptotic behavior of nonlinear systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 17: 377-400.
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  65. Cuevas, C., G.M. N'Guerekata and M. Rabelo, 2010. Mild solutions for impulsive neutral functional differential equations with state-dependent delay. Semigroup Forum, 80: 375-390.
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  66. Cuevas, C. and M.V. Frasson, 2010. Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations. Electron. J. Differential Equations, 2010: 1-5.
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  67. Cuevas, C. and J.C. de Souza, 2010. Existence of S-asymptotically ω-periodic solutions for fractional order functional integro-differential equations with infinite delay. Nonlinear Anal.: Theory Methods Applic., 72: 1683-1689.
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  68. Cuevas, C. and J.C. de Souza, 2010. A perturbation theory for the discrete harmonic oscillator equation. J. Difference Equations Applic., 16: 1413-1428.
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  69. Cuevas, C. and C. Lizama, 2010. Semilinear evolution equations on discrete time and maximal regularity. J. Math. Anal. Applic., 361: 234-245.
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  70. Cuevas, C. and C. Lizama, 2010. S-asymptotically ω-periodic solutions for semilinear Volterra equations. Math. Meth. Applied Sci., 33: 1628-1636.
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  71. Castro, A., C. Cuevas and C. Lizama, 2010. Well-posedness of second order evolution equation on discrete time. J. Difference Equations Applic., 16: 1165-1178.
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  72. Caicedo, A. and C. Cuevas, 2010. S-asymptotically w-periodic solutions of abstract partial neutral integro-differential equations. Funct. Differential Equations, 17: 387-405.
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  73. Agarwal, R.P., B. de Andrade and C. Cuevas, 2010. Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations. Nonlinear Anal.: Real World Applic., 11: 3532-3554.
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  74. Agarwal, R.P., B. de Andrade and C. Cuevas, 2010. On type of periodicity and ergodicity to a class of integral equations with infinite delay. J. Nonlinear Convex Anal., 11: 309-333.
  75. Agarwal, R.P., B. de Andrade and C. Cuevas, 2010. On type of periodicity and ergodicity to a class of fractional order differential equations. Adv. Difference Equations, Vol. 2010. .
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  76. De Andrade, B., C. Cuevas and S. Reich, 2009. Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain. J. Inequalities Applic., Vol. 2009. .
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  77. De Andrade, B. and C. Cuevas, 2009. Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain. Applied Math. Comput., 215: 2843-2849.
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  78. Cuevas, C., E. Hernandez and M. Rabelo, 2009. The existence of solutions for impulsive neutral functional differential equations. Comput. Math. Applic., 58: 744-757.
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  79. Cuevas, C. and L. del Campo, 2009. Asymptotic expansion for difference equations with infinite delay. Asian-Eur. J. Math., 2: 19-40.
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  80. Cuevas, C. and J.C. de Souza, 2009. S-asymptotically ω-periodic solutions of semilinear fractional integro-differential equations. Applied Math. Lett., 22: 865-870.
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  81. Cuevas, C. and E. Hernandez, 2009. Pseudo-almost periodic solutions for abstract partial functional differential equations. Applied Math. Lett., 22: 534-538.
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  82. Cuevas, C. and C. Lizama, 2009. Well posedness for a class of flexible structure in Holder spaces. Math. Problems Eng., Vol. 2009. 10.1155/2009/358329.
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  83. Cuevas, C. and C. Lizama, 2009. Almost automorphic solutions to integral equations on the line. Semigroup Forum, 79: 461-472.
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  84. Castro, A., C. Cuevas, C. Lizama and M. Cecchi, 2009. Maximal regularity of the discrete harmonic oscillator equation. Adv. Difference Equations, Vol. 2009. .
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  85. Cardoso, F., C. Cuevas and G. Vodev, 2009. High frequency dispersive estimates for the Schrodinger equation in high dimensions. Asymptotic Anal., 71: 207-225.
  86. Cardoso, F., C. Cuevas and G. Vodev, 2009. Dispersive estimates for the Schrodinger equation with potentials of critical regularity. Cubo, 11: 57-70.
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  87. Cardoso, F., C. Cuevas and G. Vodev, 2009. Dispersive estimates for the Schrodinger equation in dimensions four and five. Asymptotic Anal., 62: 125-145.
  88. Cardoso, F. and C. Cuevas, 2009. Exponential dichotomy and boundedness for retarded functional difference equations. J. Difference Equations Applic., 15: 261-290.
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  89. Vidal, C., C. Cuevas and L. del Campo, 2008. Weighted exponential trichotomy of difference equations. Dynamic Syst. Applic., 5: 489-495.
  90. Cuevas, C. and C. Vidal, 2008. Weighted exponential trichotomy of linear difference equations. Dynamics Continuous Discrete Impulsive Syst. Ser. A, 15: 353-379.
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  91. Cuevas, C. and C. Lizama, 2008. Semilinear evolution equations of second order via maximal regularity. Adv. Difference Equations, Vol. 2008. .
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  92. Cuevas, C. and C. Lizama, 2008. Almost automorphic solutions to a class of semilinear fractional differential equations. Applied Math. Lett., 21: 1315-1319.
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  93. Cardoso, F., C. Cuevas and G. Vodev, 2008. Weighted dispersive estimates for solutions of the Schrodinger equation. Serdica Math. J., 34: 39-54.
  94. Ashyralyev, A., C. Cuevas and S. Piskarev, 2008. On well-posedness of difference schemes for abstract elliptic problems in Lp([0,T];E) spaces. Numer. Funct. Anal. Optim., 29: 43-65.
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  95. Cuevas, C. and C. Lizama, 2007. Maximal regularity of discrete second order Cauchy problems in Banach spaces. J. Difference Equations Applic., 13: 1129-1138.
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  96. Cuevas, C. and G. Vodev, 2006. Lp'-Lp decay estimates of solutions to the wave equation with a short-range potential. Asymptotic Anal., 46: 29-42.
  97. Cuevas, C. and C. Vidal, 2006. A note on discrete maximal regularity for functional difference equations with infinite delay. Adv. Difference Equations, Vol. 2006. .
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  98. Cuevas, C. and L. del Campo, 2005. An asymptotic theory for retarded functional difference equations. Comput. Math. Applic., 49: 841-855.
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  99. Cardoso, F., C. Cuevas and G. Vodev, 2005. Dispersive estimates of solutions to the wave equation with a potential in dimensions two and three. Serdica Math. J., 31: 263-278.
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  100. Cuevas, C. and G. Vodev, 2004. Sharp bound on the numbers of resonances for conformally compact manifolds with constants negative curvature near infinity. Matematica Contemporanea Braz. Math. Soc. Brazil, 26: 23-29.
  101. Cuevas, C. and M. Pinto, 2003. Convergent solutions of linear functional difference equations in phase space. J. Math. Anal. Applic., 277: 324-341.
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  102. Cuevas, C. and G. Vodev, 2003. Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity. Commun. Partial Differential Equations, 28: 1685-1704.
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  103. Cuevas, C. and C. Vidal, 2002. Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space. J. Difference Equations Applic., 8: 603-640.
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  104. Cuevas, C. and M. Pinto, 2001. Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain. Nonlinear Anal.: Theory Methods Applic., 45: 73-83.
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  105. Cuevas, C. and M. Pinto, 2001. Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay. Comput. Math. Applic., 42: 671-685.
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  106. Cuevas, C., 2000. Weighted convergent and bounded solutions of Volterra difference systems with infinite delay. J. Differ. Equat. Appl., 6: 461-480.
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  107. Cuevas, C., 2000. On the hyperbolic dirichlet to neumann functional in abelian lie groups. Proyec Ciones Chile, 19: 19-25.
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  108. Cuevas, C. and M. Pinto, 2000. Asymptotic behavior in Volterra difference systems with unbounded delay. J. Comput. Appl. Math., 113: 217-225.
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  109. Cardoso, F. and R. Mendoza, 1999. On the hyperbolic dirichlet to neumann functional. Math. Soc. Portugal, 56: 389-408.
  110. Cuevas, C., 1998. On the parabolic Dirichlet to neumann functional. Proyecciones. Revista Matemática, 17: 167-176.
  111. Cardoso, F., 1998. On the hyperbolic dirichlet to neumann functional in H N and Sn Proyecciones, Chile, 17: 63-70.

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