All Stories

  1. Fractional Beer-Lambert law in laser heating of biological tissue

    Article • AIMS Mathematics, January 2022, Tsinghua University Press

    Carlos Lizama

  2. Nonlocal operators are chaotic

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, October 2020, American Institute of Physics

    Carlos Lizama, Alfredo Peris

  3. Maximal ℓp-regularity for discrete time Volterra equations with delay

    Article • The Journal of Difference Equations and Applications, July 2019, Taylor & Francis

    Carlos Lizama

  4. Visibility graphs of fractional Wu–Baleanu time series

    Article • The Journal of Difference Equations and Applications, May 2019, Taylor & Francis

    J. Alberto Conejero, Carlos Lizama

  5. Lattice Dynamical Systems Associated with a Fractional Laplacian

    Article • Numerical Functional Analysis and Optimization, April 2019, Taylor & Francis

    Carlos Lizama

  6. Lebesgue regularity for nonlocal time-discrete equations with delays

    Article • Fractional Calculus and Applied Analysis, June 2018, De Gruyter

    Carlos Lizama

  7. Linear dynamics of semigroups generated by differential operators

    Article • Open Mathematics, June 2017, De Gruyter

    Carlos Lizama, Alfredo Peris, J. Alberto Conejero

  8. $\ell_{p}$ -maximal regularity for a class of fractional difference equations on UMD spaces: The case $1\lt \alpha\leq2$

    Article • Banach Journal of Mathematical Analysis, January 2017, Duke University Press

    Carlos Lizama

  9. Cesàro sums and algebra homomorphisms of bounded operators

    Article • Israel Journal of Mathematics, October 2016, Springer Science + Business Media

    Carlos Lizama

  10. Attractivity for functional Volterra integral equations of convolution type

    Article • Journal of Computational and Applied Mathematics, August 2016, Elsevier

    Carlos Lizama

  11. On the existence of chaos for the viscous van Wijngaarden–Eringen equation

    Article • Chaos Solitons & Fractals, August 2016, Elsevier

    Carlos Lizama

  12. Dynamics of the solutions of the water hammer equations

    Article • Topology and its Applications, April 2016, Elsevier

    Carlos Lizama

  13. On the compactness of fractional resolvent operator functions

    Article • Semigroup Forum, March 2016, Springer Science + Business Media

    Carlos Lizama

  14. Sharp extensions and algebraic properties for solution families of vector-valued differential equations

    Article • Banach Journal of Mathematical Analysis, January 2016, Duke University Press

    Carlos Lizama

  15. Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations

    Article • Applied Mathematics and Computation, November 2015, Elsevier

    Carlos Lizama

  16. On a connection between the discrete fractional Laplacian and superdiffusion

    Article • Applied Mathematics Letters, November 2015, Elsevier

    Carlos Lizama

  17. Addendum to “Almost automorphic solutions of dynamic equations on time scales” [J. Funct. Anal. 265 (10) (2013) 2267–2311]

    Article • Journal of Functional Analysis, October 2015, Elsevier

    Carlos Lizama

  18. The Poisson distribution, abstract fractional difference equations, and stability

    Article • Proceedings of the American Mathematical Society, July 2015, American Mathematical Society (AMS)

    Carlos Lizama

  19. lp-maximal regularity for fractional difference equations on UMD spaces

    Article • Mathematische Nachrichten, July 2015, Wiley

    Carlos Lizama

  20. Almost automorphic mild solutions to fractional partial difference-differential equations

    Article • Applicable Analysis, July 2015, Taylor & Francis

    Carlos Lizama

  21. Abstract Volterra equations with state-dependent delay

    Article • Journal of Integral Equations and Applications, June 2015, Rocky Mountain Mathematics Consortium

    Carlos Lizama

  22. Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces

    Article • Applied Mathematics and Computation, May 2015, Elsevier

    Carlos Lizama

  23. Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces

    Article • Advances in Difference Equations, January 2015, Springer Science + Business Media

    Carlos Lizama

  24. Asymptotic Behavior of Nonlinear Evolution Equations

    Article • Abstract and Applied Analysis, January 2015, Hindawi Publishing Corporation

    Carlos Lizama

  25. On the boundedness of generalized Cesàro operators on Sobolev spaces

    Article • Journal of Mathematical Analysis and Applications, November 2014, Elsevier

    Carlos Lizama

  26. A connection between almost periodic functions defined on timescales and ℝ

    Article • Applicable Analysis, January 2014, Taylor & Francis

    Carlos Lizama

  27. Regularity of Difference Equations on Banach Spaces

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  28. Applications

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  29. Stochastic Volterra equations under perturbations

    Article • Electronic Communications in Probability, January 2014, Institute of Mathematical Statistics

    Carlos Lizama

  30. Second-Order Linear Difference Equations

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  31. First-Order Linear Difference Equations

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  32. Second-Order Semilinear Difference Equations

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  33. First-Order Semilinear Difference Equations

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  34. Maximal Regularity and the Method of Fourier Multipliers

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  35. Discrete Semigroups and Cosine Operators

    Article • January 2014, Springer Science + Business Media

    Carlos Lizama

  36. On a Class of Non-Markovian Langevin Equations

    Article • Open Systems & Information Dynamics, December 2013, World Scientific Pub Co Pte Lt

    Carlos Lizama

  37. Almost automorphic solutions of non-autonomous difference equations

    Article • Journal of Mathematical Analysis and Applications, November 2013, Elsevier

    Carlos Lizama

  38. Regularity of mild solutions for a class of fractional order differential equations

    Article • Applied Mathematics and Computation, November 2013, Elsevier

    Carlos Lizama

  39. Almost automorphic solutions of dynamic equations on time scales

    Article • Journal of Functional Analysis, November 2013, Elsevier

    Carlos Lizama

  40. Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces

    Article • Proceedings of the Edinburgh Mathematical Society, August 2013, Cambridge University Press

    Carlos Lizama

  41. Mild solutions for abstract fractional differential equations

    Article • Applicable Analysis, August 2013, Taylor & Francis

    Carlos Lizama

  42. Pseudo Asymptotic Solutions of Fractional Order Semilinear Equations

    Article • Banach Journal of Mathematical Analysis, January 2013, Duke University Press

    Carlos Lizama

  43. Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Carlos Lizama

  44. Calcium (Ca2+) waves data calibration and analysis using image processing techniques

    Article • BMC Bioinformatics, January 2013, Springer Science + Business Media

    Carlos Lizama

  45. Asymptotic Periodicity for Strongly Damped Wave Equations

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Carlos Lizama

  46. On the existence of almost automorphic solutions of Volterra difference equations

    Article • The Journal of Difference Equations and Applications, November 2012, Taylor & Francis

    Carlos Lizama

  47. Maximal Regularity for Perturbed Integral Equations on the Line

    Article • Integral Equations and Operator Theory, October 2012, Springer Science + Business Media

    Carlos Lizama

  48. The complex inversion formula in UMD spaces for families of bounded operators

    Article • Applicable Analysis, May 2012, Taylor & Francis

    Carlos Lizama

  49. Periodic solutions of abstract functional differential equations with infinite delay

    Article • Nonlinear Analysis, March 2012, Elsevier

    Carlos Lizama

  50. Existence of asymptotically almost automorphic solutions for a third order differential equation

    Article • Electronic journal of qualitative theory of differential equations, January 2012, University of Szeged

    Carlos Lizama

  51. Solutions of two-term time fractional order differential equations with nonlocal initial conditions

    Article • Electronic journal of qualitative theory of differential equations, January 2012, University of Szeged

    Carlos Lizama

  52. The Maximal Subspace for Generation of(a,k)-Regularized Families

    Article • Abstract and Applied Analysis, January 2012, Hindawi Publishing Corporation

    Carlos Lizama

  53. On a Functional Equation Associated with (a,k)-Regularized Resolvent Families

    Article • Abstract and Applied Analysis, January 2012, Hindawi Publishing Corporation

    Carlos Lizama

  54. Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

    Article • Abstract and Applied Analysis, January 2012, Hindawi Publishing Corporation

    Carlos Lizama

  55. On a connection between powers of operators and fractional Cauchy problems

    Article • Journal of Evolution Equations, December 2011, Springer Science + Business Media

    Carlos Lizama

  56. Application of the fractional Fourier transform to image reconstruction in MRI

    Article • Magnetic Resonance in Medicine, October 2011, Wiley

    Carlos Lizama, Vicente Parot

  57. Existence of asymptotically almost periodic solutions for damped wave equations

    Article • Journal of Mathematical Analysis and Applications, October 2011, Elsevier

    Carlos Lizama

  58. The fractional Fourier transform and quadratic field magnetic resonance imaging

    Article • Computers & Mathematics with Applications, August 2011, Elsevier

    Carlos Lizama, Vicente Parot

  59. Regularity of solutions for a third order differential equation in Hilbert spaces

    Article • Applied Mathematics and Computation, July 2011, Elsevier

    Carlos Lizama

  60. Bounded solutions to a class of semilinear integro-differential equations in Banach spaces

    Article • Nonlinear Analysis, July 2011, Elsevier

    Carlos Lizama

  61. Almost automorphic solutions to abstract Volterra equations on the line

    Article • Nonlinear Analysis, July 2011, Elsevier

    Carlos Lizama

  62. A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications

    Article • Mathematische Nachrichten, February 2011, Wiley

    Carlos Lizama

  63. An operator theoretical approach to a class of fractional order differential equations

    Article • Applied Mathematics Letters, February 2011, Elsevier

    Carlos Lizama

  64. Periodic solutions of degenerate differential equations in vector-valued function spaces

    Article • Studia Mathematica, January 2011, Institute of Mathematics, Polish Academy of Sciences

    Carlos Lizama

  65. Solutions to stochastic fractional oscillation equations

    Article • Applied Mathematics Letters, November 2010, Elsevier

    Carlos Lizama

  66. A Landau–Kolmogorov inequality for generators of families of bounded operators

    Article • Journal of Mathematical Analysis and Applications, November 2010, Elsevier

    Carlos Lizama

  67. Well-posedness of second order evolution equation on discrete time

    Article • The Journal of Difference Equations and Applications, October 2010, Taylor & Francis

    Carlos Lizama

  68. Periodic solutions of fractional differential equations with delay

    Article • Journal of Evolution Equations, September 2010, Springer Science + Business Media

    Carlos Lizama

  69. Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces

    Article • Integral Equations and Operator Theory, June 2010, Springer Science + Business Media

    Carlos Lizama

  70. Bounded mild solutions of perturbed Volterra equations with infinite delay

    Article • Nonlinear Analysis, June 2010, Elsevier

    Carlos Lizama

  71. S -asymptotically ω-periodic solutions for semilinear Volterra equations

    Article • Mathematical Methods in the Applied Sciences, February 2010, Wiley

    Carlos Lizama

  72. Fractional relaxation equations on Banach spaces

    Article • Applied Mathematics Letters, February 2010, Elsevier

    Carlos Lizama

  73. Semilinear evolution equations on discrete time and maximal regularity

    Article • Journal of Mathematical Analysis and Applications, January 2010, Elsevier

    Carlos Lizama

  74. Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces

    Article • Mathematical Problems in Engineering, January 2010, Hindawi Publishing Corporation

    Carlos Lizama

  75. Compact almost automorphic solutions to integral equations with infinite delay

    Article • Nonlinear Analysis, December 2009, Elsevier

    Carlos Lizama

  76. Algebra homomorphisms defined via convoluted semigroups and cosine functions

    Article • Journal of Functional Analysis, December 2009, Elsevier

    Carlos Lizama

  77. Solutions to stochastic fractional relaxation equations

    Article • Physica Scripta, October 2009, Institute of Physics Publishing

    Carlos Lizama

  78. On duality and spectral properties of ( a, k)-regularized resolvents

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, May 2009, Cambridge University Press

    Carlos Lizama

  79. Almost automorphic solutions to integral equations on the line

    Article • Semigroup Forum, May 2009, Springer Science + Business Media

    Carlos Lizama

  80. Periodic solutions of integro-differential equations in vector-valued function spaces

    Article • Journal of Differential Equations, February 2009, Elsevier

    Carlos Lizama

  81. Almost Automorphic Solutions of Difference Equations

    Article • Advances in Difference Equations, January 2009, Springer Science + Business Media

    Carlos Lizama

  82. Maximal Regularity of the Discrete Harmonic Oscillator Equation

    Article • Advances in Difference Equations, January 2009, Springer Science + Business Media

    Carlos Lizama

  83. Strong solutions to stochastic Volterra equations

    Article • Journal of Mathematical Analysis and Applications, January 2009, Elsevier

    Carlos Lizama

  84. Well Posedness for a Class of Flexible Structure in Hölder Spaces

    Article • Mathematical Problems in Engineering, January 2009, Hindawi Publishing Corporation

    Carlos Lizama

  85. Almost automorphic solutions to a class of semilinear fractional differential equations

    Article • Applied Mathematics Letters, December 2008, Elsevier

    Carlos Lizama

  86. Almost automorphic mild solutions to fractional differential equations

    Article • Nonlinear Analysis, December 2008, Elsevier

    Carlos Lizama

  87. Maximal regularity for perturbed integral equations on periodic Lebesgue spaces

    Article • Journal of Mathematical Analysis and Applications, December 2008, Elsevier

    Carlos Lizama

  88. Semilinear Evolution Equations of Second Order via Maximal Regularity

    Article • Advances in Difference Equations, January 2008, Springer Science + Business Media

    Carlos Lizama

  89. Maximal regularity of discrete second order Cauchy problems in Banach spaces

    Article • The Journal of Difference Equations and Applications, December 2007, Taylor & Francis

    Carlos Lizama

  90. Stochastic Volterra equations driven by cylindrical Wiener process

    Article • Journal of Evolution Equations, March 2007, Springer Science + Business Media

    Carlos Lizama

  91. On multiplicative perturbation of integral resolvent families

    Article • Journal of Mathematical Analysis and Applications, March 2007, Elsevier

    Carlos Lizama

  92. Mild Well-posedness of Abstract Differential Equations

    Article • January 2007, Springer Science + Business Media

    Carlos Lizama

  93. Fourier multipliers and periodic solutions of delay equations in Banach spaces

    Article • Journal of Mathematical Analysis and Applications, December 2006, Elsevier

    Carlos Lizama

  94. Hölder continuous solutions for integro-differential equations and maximal regularity

    Article • Journal of Differential Equations, November 2006, Elsevier

    Carlos Lizama

  95. Singular perturbation for Volterra equations of convolution type

    Article • Applied Mathematics and Computation, October 2006, Elsevier

    Humberto E Prado, Carlos Lizama

  96. Singular perturbations of integro-differential equations

    Article • Applied Mathematics and Computation, April 2006, Elsevier

    Humberto E Prado, Carlos Lizama

  97. Periodic solutions of second order differential equations in Banach spaces

    Article • Mathematische Zeitschrift, January 2006, Springer Science + Business Media

    Carlos Lizama

  98. Maximal regularity of delay equations in Banach spaces

    Article • Studia Mathematica, January 2006, Institute of Mathematics, Polish Academy of Sciences

    Carlos Lizama

  99. Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces

    Article • Studia Mathematica, January 2005, Institute of Mathematics, Polish Academy of Sciences

    Carlos Lizama

  100. FOURIER MULTIPLIERS AND INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

    Article • Journal of the London Mathematical Society, May 2004, Oxford University Press (OUP)

    Carlos Lizama

  101. On the inversion of the Laplace transform for resolvent families in UMD spaces

    Article • Archiv der Mathematik, August 2003, Springer Science + Business Media

    Carlos Lizama

  102. Rates of approximation and ergodic limits of regularized operator families

    Article • Journal of Approximation Theory, May 2003, Elsevier

    Humberto E Prado, Carlos Lizama

  103. On approximation and representation of K-regularized resolvent families

    Article • Integral Equations and Operator Theory, June 2001, Springer Science + Business Media

    Carlos Lizama

  104. Regularized Solutions for Abstract Volterra Equations

    Article • Journal of Mathematical Analysis and Applications, March 2000, Elsevier

    Carlos Lizama

  105. The vector-valued Stieltjes transform

    Article • The Quarterly Journal of Mathematics, June 1999, Oxford University Press (OUP)

    Carlos Lizama

  106. A Representation Formula for Strongly Continuous Resolvent Families

    Article • Journal of Integral Equations and Applications, December 1997, Rocky Mountain Mathematics Consortium

    Carlos Lizama

  107. Uniform continuity and compactness for resolvent families of operators

    Article • Acta Applicandae Mathematicae, February 1995, Springer Science + Business Media

    Carlos Lizama

  108. On the Convergence and Approximation of Integrated Semigroups

    Article • Journal of Mathematical Analysis and Applications, January 1994, Elsevier

    Carlos Lizama

  109. A mean ergodic theorem for resolvent operators

    Article • Semigroup Forum, December 1993, Springer Science + Business Media

    Carlos Lizama

  110. On Volterra Equations Associated with a Linear Operator

    Article • Proceedings of the American Mathematical Society, August 1993, JSTOR

    Carlos Lizama

  111. On Volterra equations associated with a linear operator

    Article • Proceedings of the American Mathematical Society, April 1993, American Mathematical Society (AMS)

    Carlos Lizama

  112. A Characterization of Periodic Resolvent Operators

    Article • Results in Mathematics, August 1990, Springer Science + Business Media

    Carlos Lizama

  113. On an extension of the Trotter-Kato theorem for resolvent families of operators

    Article • Journal of Integral Equations and Applications, June 1990, Rocky Mountain Mathematics Consortium

    Carlos Lizama

  114. Mild almost periodic solutions of abstract differential equations

    Article • Journal of Mathematical Analysis and Applications, November 1989, Elsevier

    Carlos Lizama

  115. On the spectrum of cosine operator functions

    Article • Integral Equations and Operator Theory, September 1989, Springer Science + Business Media

    Carlos Lizama

  116. Spectral properties of cosine operator functions

    Article • Aequationes Mathematicae, February 1988, Springer Science + Business Media

    Carlos Lizama