Preprints and publications since 2003

 

1. (with J. Sánchez) On Perturbation of k-Regularized Resolvent Families, Taiwanese Journal of Mathematics. vol 7 (2), (2003), 217-227.

2. (with H. Prado ) Rates of Approximation and Ergodic Liimits of Regularized Operator Families. J. Approx. Theory. vol 122 (1), (2003), 42-61.

3. (with I. Cioranescu ) On the Inversion of the Laplace Transform for Resolvent Families in UMD Spaces. Arch.Math. 81(2), (2003), 182-192.

4. (with V. Vergara) Uniform Stability of Resolvent Families, Proc. Amer. Math. Soc. 132 (1), (2004), 175-181.

5. (with V. Keyantuo ) Fourier Multipliers and Integro-Differential Equations in Banach Space. J. Lond. Math. Soc. (2) 69 (2004), 737-750.

6. (with V. Keyantuo) Maximal Regularity for a Class of Integro-Differential Equations with Infinite Delay in Banach Spaces. Studia Mathematica, 168(1)(2005), 25-50.

7. (with H. Prado ) Singular Perturbations of Integro-Differential Equations. Applied Mathematics and Computation, 175(2)(2006), 1582-1595.

8. Fourier Multipliers and Periodic Solutions of Delay Equations in Banach Spaces. J. Math. Anal. Appl., 324(2)(2006),921-933.

9. (with V. Keyantuo ) Periodic Solutions to Second Order Differential Equations in Banach Spaces. Mathematische Zeitschrift, 253(2006),489-514.

10. (with V. Poblete) Maximal Regularity of Delay Equations in Banach Spaces. Studia Mathematica, 175 (2006), 91-102.

11.(with V. Keyantuo) Hölder Continuous Solutions for Integro-Differential Equations and Maximal Regularity. Journal of Differential Equations, 230 (2006), 634-660.

12. (with H. Prado) Singular Perturbation for Volterra Equations of Convolution Type. Applied Mathematics and Computation, 181(2006), 1624-1634.

13. (with A. Karczewska) Regularity of Solutions to Stochastic Volterra Equations with Infinite Delay. Proc. Amer. Math. Soc. 135(2007), 531-540.

14.(with V. Poblete) On Multiplicative Perturbation of Integral Resolvent Families. J. Math. Anal. Appl., 327(2) (2007), 1335-1359.

15.(with A. Karczewska) Stochastic Volterra equations driven by cylindrical Wiener process, Journal of Evolution Equations, 7(2007), 373-386.

16.(with A. Karczewska) On stochastic fractional Volterra equations in Hilbert space, Discrete Cont. Dyn. Sys. Series A, Supplement (2007), 541-550.

17.(with C.Cuevas) Maximal Regularity of Discrete Second Order Cauchy Problems in Banach Spaces. Journal of Difference Equations and Applications, 13 (12) (2007), 1129-1138.

18.(with V. Keyantuo) Mild Well-Posedness of Abstract Differential Equations.in: Functional Analysis and Evolution Equations, editors: H. Amann, W. Arendt, M. Hieber, F. M. Neubrander, S. Nicaise and J. von Below, Birkhauser-Basel, 371-387, 2008.

19.(with C. Cuevas) Semilinear Evolution Equations of Second Order via Maximal Regularity. Advances in Difference Equations, 2008, Article ID 316207 (2008).

20.(with C. Cuevas) Almost Automorphic Solutions to a class of Semilinear Fractional Differential Equations. Applied Math. Letters, 21 (2008), 1315-1319.

21. (with V. Poblete) Maximal Regularity for Perturbed Integral Equations on Periodic Lebesgue Spaces, J. Math. Anal. Appl., 348 (2008), 775-786.

22.(with D. Araya) Almost Automorphic Mild Solutions to Fractional Differential Equations, Nonlinear Analysis, Series A: Theory Methods and Applications, 69 (2008),3692-3705.

23.(with A. Karczewska) Strong Solutions to Stochastic Volterra Equations. J. Math. Anal. Appl., 349 (2009), 301-310.

24.(with V.Keyantuo and V. Poblete) Periodic Solutions of Integro-differential Equations in Vector-valued Function Spaces. Journal of Differential Equations, 246(3) (2009), 1007-1037.

25. (with A. Castro and C. Cuevas) Maximal regularity of the discrete harmonic oscillator equation. Advances in Difference Equations,2009, Article ID 290625, 14 p. (2009). doi:10.1155/2009/290625.

26.(with H.Prado) On Duality and Spectral Properties of (a,k)-Regularized Resolvents. Proceedings of the Royal Society of Edinburgh: Section A, 139 (3), (2009), 505-517.

27. (with C. Cuevas) Well posedness for a class of flexible structure in Holder spaces. Mathematical Problems in Engineering
Volume 2009, Article ID 358329, 13 pages, doi:10.1155/2009/358329.

28. (with D. Araya and R. Castro) Almost automorphic solutions of difference equations. Advances in Difference Equations,Volume 2009 (2009), Article ID 591380, 15 pages, doi:10.1155/2009/591380.

29. (with V. Keyantuo and P. Miana) Algebra homomorphisms defined via convoluted semigroups and cosine functions. Journal of Functional Analysis, 257 (2009) 3454-3487.

30. (with H. Henríquez) Compact almost automorphic solutions to integral equations with infinite delay. Nonlinear Analysis, Series A, Theory Methods and Applications, 71 (2009), 6029-6037.

31. (with A. Karczewska) Solutions to stochastic fractional relaxation equations. Physica Scripta T, 136 (2009), 014030 (7pp.)

32. (with C. Cuevas) Almost automorphic solutions to integral equations on the line. Semigroup Forum, 79(3) (2009), 461-472.

33.(with C.Cuevas) Semilinear Evolution Equations on Discrete Time and Maximal Regularity. Journal of Mathematical Analysis and Applications, 361 (2010), 234-245.

34. (with S. Calzadillas) Bounded mild solutions of perturbed Volterra equations with infinite delay. Nonlinear Analysis, Series A, Theory Methods and Applications, 72 (11) (2010), 3976-3983.

35. (with H. Prado) Fractional relaxation equations on Banach spaces. Applied Math. Letters, 23 (2) (2010), 137-142.

36. (with C. Fernández and V. Poblete) Maximal regularity for flexible structural systems in Lebesgue spaces. Mathematical Problems in Engineering, vol 2010, Article ID196956, (2010), 15p.

37.(with P. Miana) A Kallman-Rota inequality for generators of families of bounded operators. Journal of Mathematical Analysis and Applications, 371 (2010), 614-623.

38.(with A. Karczewska) Solutions to stochastic fractional oscillation equations. Applied Math. Letters, 23 (11) (2010), 1361-1366.

39. (with C. Cuevas) S-asymptotically w-periodic solutions for semilinear Volterra equations. Mathematical Methods in the Applied Sciences, 33 (13) (2010), 1628-1636.

40. (with A. Castro and C. Cuevas) Well posedness of second order evolution equation on discrete time. Journal of Difference Equations and Applications, 16(10) (2010), 1165-1178.

41. (with G.M. N'Guérékata) Bounded mild solutions for semilinear integro-differential equations in Banach spaces. Integral Equations and Operator Theory, 68 (2) (2010), 207-227.

42. (with R. Rebolledo) Cosine and Gaussian transforms. Communications on Stochastic Analysis, 4 (4) (2010), 541-551.

43. (with R. Ponce) Periodic solutions of degenerate differential equations in vector-valued function spaces. Studia Mathematica, 202 (2011), 49-63.

44. An operator theoretical approach to a class of fractional order differential equations. Applied Math. Letters, 24 (2) (2011), 184-190.

45. (with V. Poblete) Periodic solutions of fractional differential equations with delay. Journal of Evolution Equations, 11 (2011), 57-70.

46.(with R. Ponce) Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Nonlinear Analysis, Series A, Theory Methods and Applications, 74 (2011), 3397-3406.

47.(with C. Fernández and V. Poblete) Regularity of solutions for a third order differential equation in Hilbert spaces. Applied Mathematics and Computation, 217 (21) (2011), 8522-8533.

48. (with V. Keyantuo) A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications. Mathematische Nachrichten, 284 (4) (2011), 494–506.

49. (with B. De Andrade) Existence of asymptotically almost periodic solutions for damped wave equations. Journal of Mathematical Analysis and Applications, 382 (2011), 761-771.

50. (with R. Ponce) Almost automorphic solutions to abstract Volterra equations on the line. Nonlinear Analysis, Series A, Theory Methods and Applications, 74 (2011), 3805-3814.

51.(with P. Irarrazaval, V. Parot, C. Tejos and C.Sing-Long) The fractional Fourier transform and quadratic field magnetic resonance imaging. Computers and Mathematics with Applications, 62 (2011), 1576-1590.

52.(with H. Henriquez) Periodic solutions of abstract functional differential equations with infinite delay. Nonlinear Analysis, Series A, Theory Methods and Applications, 75 (2012), 2016-2023.

53. (with J.C. De Souza) The complex inversion formula in UMD spaces for families of bounded operators. Applicable Analysis, 91 (15) (2012), 937-946.

54. (with V. Keyantuo) On a connection between powers of operators and fractional Cauchy problems. Journal of Evolution Equations, 12 (2012), 245–265.

55.(with V. Parot, C. Sing-Long, C. Tejos, S. Uribe and P. Irarrazaval) Application of the fractional Fourier transform to image reconstruction in MRI. Magnetic Resonance in Medicine, 68 (2012), 17-29.

56. (with F. Poblete) On a functional equation associated with (a,k)-regularized resolvent families. Abstract and Applied Analysis, vol. 2012, Article ID 495487, 23 pages, 2012. doi:10.1155/2012/495487.

57. (with D. Araya) Existence of asymptotically almost automorphic solutions for a third order differential equation. E.J. Qualitative Theory of Diff. Eq. 53 (2012), 1-20.

58. Solutions of two-term time fractional order differential equations with nonlocal initial conditions. E.J. Qualitative Theory of Diff. Eq. 82 (2012), 1-9.

59. (with E. Alvarez-Pardo) The maximal subspace for generation of (a,k)-regularized families. Abstract and Applied Analysis, Volume 2012 (2012), Article ID 683021, 14 pages doi:10.1155/2012/683021.

60. (with C. Cuevas and H. Henríquez) On the existence of almost automorphic solutions of Volterra difference equations. Journal of Difference Equations and Applications, 18(11)(2012), 1931-1946.

61. (with R. Ponce) Maximal regularity for perturbed integral equations on the line. Integr. Equ. Oper. Theory 74 (2012), 513–526.

62.(with J.C. Pozo) Existence of mild solutions for semilinear integrodifferential equations with nonlocal conditions. Abstract and Applied Analysis, Volume 2012 (2012), Article ID 647103, 15 pages doi:10.1155/2012/647103.

63.(with E. Alvarez-Pardo) Pseudo asymptotic solutions of fractional order semilinear equations. Banach Journal of Mathematical Analysis, 7 (2) (2013), 42-52.

64. (with C. Milovic, C. Oses, M. Villalon, S. Uribe, C. Prieto, M. Andia, P. Irarrazaval, C. Tejos) Calcium (Ca2+) waves data calibration and analysis using image processing techniques. BMC Bioinformatics, 14 (162) (2013), 1-14.

65. (with J. G. Mesquita) Almost automorphic solutions of nonautonomous difference equations. Journal of Mathematical Analysis and Applications, 407 (2) (2013), 339-349.

66.(with V. Keyantuo and M. Warma) Asymptotic behavior of fractional order semilinear evolution equations. Differential and Integral Equations, 26 (7/8) (2013), 757-780.

67.(with G. N'Guérékata) Mild solutions for abstract fractional differential equations. Applicable Analysis, 92 (8) (2013), 1731-1754.

68. (with P.J. Miana and F. Poblete) Uniform stability of (a,k)- regularized families. Asymptotic Analysis, 84(2013), 47-60.

69. (with J. G. Mesquita) Almost automorphic solutions of dynamic equations on times scales. Journal of Functional Analysis, 265 (2013), 2267-2311.

70.(with R. Ponce) Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Proceedings of the Edinburgh Mathematical Society, 56(3) (2013), 853-871.

71. (with C. Cuevas and H. Soto) Asymptotic periodicity for strongly damped wave equations. Abstract and Applied Analysis, Volume 2013, Article ID 308616, 14 pages http://dx.doi.org/10.1155/2013/308616

72. (with F. Poblete) Regularity of mild solutions for a class of fractional order differential equations. Applied Mathematics and Computation, 224 (2013), 803-816.

73. (with V. Keyantuo and M. Warma) Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations. Abstract and Applied Analysis, vol. 2013, Article ID 614328, 11 pages, 2013. doi:10.1155/2013/614328.

74. (with R. Rebolledo) On a class of non Markovian Langevin Equations. Open Systems & Information Dynamics.
20 (4) (2013). Article ID 1350016, 17 pages. doi:10.1142/S1230161213500169.

75. Some operators acting on weighted sequence Lebesgue spaces and applications. Scientia Iranica, Transaction B: Mechanical Engineering, 20 (6) (2013), 1765-1772.

76. (with C. Cuevas) Existence of S-asymptotically w-periodic solutions for two-times fractional order differential equations. Southeast Asian Bulletin of Mathematics, 37 (5) (2013), 683-690.

77. (with E. Alvarez-Pardo) Mild solutions of multi-term fractional order differential equations with non local initial conditions. Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 39, pp. 1-10.

78. (with A. Karczewska) Stochastic Volterra equations under perturbations. Electron. Commun. Probab. 19 (2014), no. 29, 1–14.

79. (with R. Agarwal and C. Cuevas)[Book] Regularity of Difference Equations on Banach Spaces. Springer-Verlag, Cham, 2014. Hardcover ISBN 978-3-319-06446-8

80. (with P.J. Miana, R. Ponce and L. Sánchez-LaJusticia) On the boundedness of generalized Cèsaro operators on Sobolev spaces. Journal of Mathematical Analysis and Applications, 419(1) (2014), 373-394.

81. (with J. G. Mesquita and R. Ponce) On the connection of almost periodic functions defined on time scales and R. Applicable Analysis, 93(12)(2014), 2547-2558.

82. (with E. Alvarez-Pardo) Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. Advances in Difference Equations, 13 (2015), 1-18.

83. (with A. Conejero and F. Rodenas) Chaotic behaviour of the solutions of the Moore-Gibson-Thomson equation. Appl. Math. Inf. Sci. 9(5) (2015), 1-16.

84. (with M.P. Velasco) Abstract Volterra equations with state dependent delay. Journal of Integral Equations and Applications, 27(2) (2015), 219-231.

85. (with E. Alvarez-Pardo and R. Ponce) Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Applied Mathematics and Computation, 259 (2015), 164-172.

86.(with O. Ciaurri, L. Roncal and J.L. Varona) On a connection between the discrete fractional Laplacian and superdiffusion. Applied Math. Letters, 49 (2015), 119-125.

87.(with E. Alvarez-Pardo) Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Applied Mathematics and Computation, 271 (2015), 154-167.

88. lp-maximal regularity for fractional difference equations on UMD spaces. Mathematische Nachrichten, 288 (17/18) (2015), 2079-2092.

89. (with C. Cuevas, G. M. N'Guérékata and H.S. Ding) Asymptotic behavior of nonlinear evolution equations. Abstract and Applied Analysis. 2015 (2015) Art ID 430238.

90. (with J. Mesquita) Addendum to "Almost automorphic solutions of dynamic equations on time scales" [J. Funct. Anal. 265 (10) (2013) 2267-2311]. Journal of Functional Analysis, 269 (7) (2015), 2302-2303.

91. (with A. Conejero and F. Rodenas) Dynamics of the solutions of the Water Hammer equations. Topology and its Applications, 203 (2016), 67-83.

92. (with L. Abadías and P.J. Miana) Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Banach Journal of Mathematical Analysis, 10(1) (2016), 169-208.

93. (with L. Abadias) Almost automorphic mild solutions to fractional partial difference-differential equations. Applicable Analysis, 95 (6) (2016), 1347-1369.

94. (with E. Alvarez)  Attractivity for functional Volterra integral equations of convolution type. Journal of Computational and Applied Mathematics, 30 (2016), 230-240.

95. (with A. Conejero y M. Murillo) On the existence of chaos for the viscous Van Wijngaarden Eringen equation. Chaos, Solitons and Fractals, 89 (2016), 100-104. 

96.(with V. Keyantuo and M. Warma) Existence, regularity and representation of solutions of time fractional diffusion equations. Advances in Differential Equations, 21 (9-10) (2016), 837-886.

97. (with M.P. Velasco) Weighted bounded solutions for a class of nonlinear fractional equations. Fractional Calculus and Applied Analysis, 19 (4) (2016), 1010-1030.

98. (with E. Alvarez)  Weighted pseudo almost automorphic and S-asymptotically w-periodic solutions to fractional difference-differential equations. Electronic Journal of Differential Equations, 270 (2016), 1-12.

99.(with L.Abadias, P.J. Miana and M.P. Velasco) Cesàro sums and algebra homomorphisms of bounded operators. Israel Journal of Mathematics, 216 (1) (2016), 471-505.

100. (with R. Ponce and A. Pereira) On the compactness of fractional resolvent operator functions. Semigroup Forum, 93(2) (2016), 363-374.

101. (with E. Álvarez) Application of measure of noncompactness to  Volterra equations of convolution type. Journal of Integral Equations and Applications, 28 (4) (2016), 441-458.

102. (with M. Murillo) lp-maximal regularity for a class of fractional difference equations on UMD spaces: The case 1<alpha <2. Banach Journal of Mathematical Analysis, 11 (1) (2017), 188-206.

103. The Poisson distribution, abstract fractional difference equations, and stability. Proceedings of the American Mathematical Society, to appear.

104. (with J.G. Mesquita, R. Ponce and E. Toon) Almost automorphic solutions of Volterra equations on time scales. Differential and Integral Equations, to appear.

105. (with R. Ponce and A. Pereira) Norm continuity for strongly continuous families of operators. International Journal of Evolution Equations, to appear.

106. (with C. Fernández and V. Poblete) Exponential decay for the solutions of a second order abstract differential equation. Submitted.

107. (with J. G. Mesquita) Asymptotically almost automorphic solutions of dynamic equations on times scales. Submitted.

108. (with V. Keyantuo and M. Warma) Existence, regularity and representation of solutions of fractional wave equations. Submitted.

109. (with S. Calzadillas and J.G. Mesquita) A unified approach to discrete fractional calculus and applications. Submitted.

110. (with J.G. Mesquita and H. Henriquez) Semigroups on time scales and applications to abstract Cauchy problems. Submitted.

111. (with L. Abadias, P.J. Miana and M.P. Velasco) On well-posedness of vector-valued fractional differential-difference equations. Submitted.

112. (with A. Conejero and M. Murillo)  Chaotic behavior for partial differential equations of order two. Submitted.

113.(with M. Murillo) Well posedness for a class of discrete time fractional models. Submitted.

114. (with V. Keyantuo and M. Warma) Lattice dynamical systems associated to a fractional Laplacian. Submitted.

115. (with R. Rebolledo) A semigroup approach to fractional Poisson processes. Submitted.

116. (with M. Murillo) Maximal regularity in lp spaces for discrete time fractional shifted equations. Submitted.

117. (with M. Murillo) Well posedness for semidiscrete abstract fractional Cauchy problems with finite delay. Submitted.

118. (with L. Abadías and M. Murillo) Hölder regularity for the Moore-Gibson-Thomson equation with infinite delay. Submitted.

119. (with E. Alvarez and L. Abadías) Regularity properties of mild solutions for a class of abstract Volterra equation with critical nonlinearities. Submitted.

120. (with L. Roncal) Hölder-Lebesgue regularity and almost periodicity for  semidiscrete equations with a fractional Laplacian. Submitted

121. (with C. Leal and M. Murillo) Lebesgue regularity for differential difference equations with fractional damping. Submitted.

122. (with A. Karczewska) Fractional stochastic Volterra equations in infinite dimension. Submitted.

123. (with J. Pereira and E. Toon) On the exponential stability of Samuelson model on some classes of time scales. Submitted.

124. (with A. Conejero, M. Murillo and A. Peris) Linear Dynamics of semigroups generated by differential operators. Submitted.

 

 

 

 

 

Last update: April 7, 2017