C. Lizama

发表

The Poisson distribution, abstract fractional difference equations, and stability

Carlos Lizama, C. Lizama, 2017 .

A connection between almost periodic functions defined on timescales and ℝ

Jaqueline Godoy Mesquita, Carlos Lizama, Rodrigo Ponce, 2014 .

Almost automorphic solutions of dynamic equations on time scales

Jaqueline Godoy Mesquita, Carlos Lizama, C. Lizama, 2013 .

Almost automorphic solutions of non-autonomous difference equations

Carlos Lizama, Jaqueline G. Mesquita, C. Lizama, 2013 .

HÖlder?lebesgue regularity and almost periodicity for semidiscrete equations with a fractional laplacian

Carlos Lizama, Luz Roncal, C. Lizama, 2018 .

Almost automorphic mild solutions to fractional differential equations

Carlos Lizama, C. Lizama, Daniel B. Araya, 2008 .

Mild solutions for abstract fractional differential equations

C. Lizama, G. N’Guérékata, 2013 .

Asymptotic behavior of fractional order semilinear evolution equations

C. Lizama, M. Warma, V. Keyantuo, 2013, Differential and Integral Equations.

PSEUDO ASYMPTOTIC SOLUTIONS OF FRACTIONAL ORDER SEMILINEAR EQUATIONS

C. Lizama, Edgardo Alvarez-Pardo, 2013 .

Maximal ℓp-regularity for discrete time Volterra equations with delay

C. Lizama, M. Murillo‐Arcila, 2019, Journal of Difference Equations and Applications.

Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type

C. Lizama, M. Warma, V. Keyantuo, 2019, Advances in Difference Equations.

Fundamental solutions for discrete dynamical systems involving the fractional Laplacian

C. Lizama, M. Warma, V. Keyantuo, 2019, Mathematical Methods in the Applied Sciences.

Estimation of the light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions

Carlos Lizama, Javier F. Urchueguía, J. Alberto Conejero, 2018 .

`p-MAXIMAL REGULARITY FOR A CLASS OF FRACTIONAL DIFFERENCE EQUATIONS ON UMD SPACES: THE CASE

C. Lizama, M. Murillo‐Arcila, 2016 .

The Super-Diffusive Singular Perturbation Problem

C. Lizama, E. Alvarez, 2020 .

Maximal Regularity for Perturbed Integral Equations on the Line

C. Lizama, Rodrigo Ponce, 2012, Integral Equations and Operator Theory.

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

I. Ciorǎnescu, C. Lizama, 2003 .

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

Juan C. Pozo, C. Lizama, 2012 .

Weighted pseudo almost automorphic and S-asymptotically ω-periodic solutions to fractional difference-differential equations

C. Lizama, E. Alvarez, 2016 .

Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation.

C. Lizama, S. Zamorano, M. Warma, 2018, 1812.11863.

On well-posedness of vector-valued fractional differential-difference equations

Pedro J. Miana, M. P. Velasco, C. Lizama, 2016, Discrete & Continuous Dynamical Systems - A.

Almost automorphic solutions to abstract Volterra equations on the line

C. Lizama, Rodrigo Ponce, 2011 .

First-Order Linear Difference Equations

R. Agarwal, C. Lizama, C. Cuevas, 2014 .

Lebesgue regularity for nonlocal time-discrete equations with delays

C. Lizama, M. Murillo‐Arcila, C. Leal, 2018, Fractional Calculus and Applied Analysis.

Linear dynamics of semigroups generated by differential operators

C. Lizama, J. Alberto Conejero, A. Peris, 2017 .

Dynamics of the solutions of the water hammer equations

C. Lizama, J. Conejero, F. Rodenas, 2016 .

Almost automorphic mild solutions to fractional partial difference-differential equations

C. Lizama, Luciano Abadias, 2016 .

Poisson equation and discrete one-sided Hilbert transform for $(C,\alpha)$-bounded operators

C. Lizama, Luciano Abadias, Jos'e E. Gal'e, 2020, 2002.10122.

Visibility graphs of fractional Wu–Baleanu time series

C. Lizama, J. Conejero, C. Rodero, 2019, Journal of Difference Equations and Applications.

Maximal regularity in lp spaces for discrete time fractional shifted equations

C. Lizama, M. Murillo‐Arcila, 2017 .

On the boundedness of generalized Cesàro operators on Sobolev spaces

Pedro J. Miana, C. Lizama, Rodrigo Ponce, 2013, 1304.1622.

Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics

C. Lizama, S. Zamorano, 2019, Journal of Differential Equations.

Exterior controllability properties for a fractional Moore–Gibson–Thompson equation

C. Lizama, S. Zamorano, M. Warma, 2022, Fractional Calculus and Applied Analysis.

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

C. Lizama, Edgardo Alvarez-Pardo, 2012 .

First-Order Semilinear Difference Equations

Ravi P. Agarwal, Carlos Lizama, Claudio Cuevas, 2014 .

Almost automorphic solutions to integral equations on the line

C. Lizama, C. Cuevas, 2009 .

On the existence of almost automorphic solutions of Volterra difference equations

Hernán R. Henríquez, Carlos Lizama, Claudio Cuevas, 2012 .

ASYMPTOTIC BEHAVIOR OF DIFFERENCE EQUATIONS UNDER RATIONAL EXPECTATIONS

C. Lizama, P. Bezandry, 2021 .

Maximal regularity of discrete second order Cauchy problems in Banach spaces

C. Lizama, C. Cuevas, 2007 .

Solutions of abstract integro‐differential equations via Poisson transformation

C. Lizama, Rodrigo Ponce, 2019, Mathematical Methods in the Applied Sciences.

On stochastic fractional Volterra equations in Hilbert space

C. Lizama, A. Karczewska, 2006, math/0610244.

On multiplicative perturbation of integral resolvent families

C. Lizama, Verónica Poblete, 2007 .

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

C. Lizama, 1990 .

Nonlocal operators are chaotic.

C. Lizama, A. Peris, M. Murillo‐Arcila, 2020, Chaos.

Strong solutions to stochastic Volterra equations

C. Lizama, A. Karczewska, 2005, math/0512532.

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

C. Lizama, Felipe Poblete, 2012 .

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

C. Lizama, E. Alvarez, 2015 .

Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation

C. Lizama, E. Alvarez, 2022, Journal of Mathematical Analysis and Applications.

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

C. Lizama, Julio César de Souza, 2012 .

Well Posedness for a Class of Flexible Structure in Hölder Spaces

C. Lizama, C. Cuevas, 2009 .

Stochastic Volterra equations driven by cylindrical Wiener process

C. Lizama, A. Karczewska, 2006, math/0610241.

Nonlocal Integrated Solutions for a Class of Abstract Evolution Equations

C. Lizama, Silvia Rueda, 2018, Acta Applicandae Mathematicae.

Well-posedness for degenerate third order equations with delay and applications to inverse problems

C. Lizama, J. Conejero, J. Seoane-Sepúlveda, 2018, Israel Journal of Mathematics.

Cesàro sums and algebra homomorphisms of bounded operators

Pedro J. Miana, C. Lizama, Luciano Abadias, 2016, Israel Journal of Mathematics.

A KALLMAN-ROTA INEQUALITY FOR GENERATORS OF FAMILIES OF BOUNDED OPERATORS

Pedro J. Miana, C. Lizama, 2010 .

Well-posedness for a fourth-order equation of Moore–Gibson–Thompson type

C. Lizama, M. Murillo‐Arcila, 2021, Electronic Journal of Qualitative Theory of Differential Equations.

Poisson equation and discrete one-sided Hilbert transform for (C, α)-bounded operators

C. Lizama, Luciano Abadias, J. Galé, 2022, Israel Journal of Mathematics.

A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity

C. Lizama, C. Goodrich, 2020 .

lp ‐maximal regularity for fractional difference equations on UMD spaces

C. Lizama, 2015 .

Cesàro sums and algebra homomorphisms of bounded operators

Pedro J. Miana, C. Lizama, Luciano Abadias, 2015, 1504.01357.

Positivity, monotonicity, and convexity for convolution operators

C. Lizama, C. Goodrich, 2020, Discrete & Continuous Dynamical Systems - A.

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

Claudia Prieto, Pablo Irarrazaval, Carlos Lizama, 2013, BMC Bioinformatics.

A Characterization of Periodic Resolvent Operators

C. Lizama, 1990 .

Application of the fractional Fourier transform to image reconstruction in MRI

Pablo Irarrazaval, Carlos Sing-Long, Carlos Lizama, 2011, Magnetic resonance in medicine.

The fractional Fourier transform and quadratic field magnetic resonance imaging

Pablo Irarrazaval, Carlos Sing-Long, Carlos Lizama, 2011, Comput. Math. Appl..

Existence, regularity and representation of solutions of time fractional wave equations

C. Lizama, M. Warma, V. Keyantuo, 2017 .

A Landau–Kolmogorov inequality for generators of families of bounded operators☆

Pedro J. Miana, C. Lizama, 2010 .

Algebra homomorphisms defined via convoluted semigroups and cosine functions

Pedro J. Miana, C. Lizama, V. Keyantuo, 2009 .

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

Carlos Lizama, Humberto Prado, C. Lizama, 2009, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Rates of approximation and ergodic limits of regularized operator families

Carlos Lizama, Humberto Prado, C. Lizama, 2003, J. Approx. Theory.

ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES

C. Lizama, Justino S ´anchez, 2003 .

Regularized Solutions for Abstract Volterra Equations

Carlos Lizama, C. Lizama, 2000 .

L p − L q $L^{p}-L^{q}$ -Maximal regular

C. Lizama, M. Murillo‐Arcila, 2020 .

$L^{p}-L^{q}$-Maximal regularity of the Van Wijngaarden–Eringen equation in a cylindrical domain

C. Lizama, M. Murillo‐Arcila, 2020 .

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

C. Lizama, J. Conejero, M. Murillo‐Arcila, 2016 .

Periodic solutions of second order differential equations in Banach spaces

Carlos Lizama, C. Lizama, Valentin Keyantuo, 2006 .

Fourier Multipliers and Integro‐Differential Equations in Banach Spaces

C. Lizama, V. Keyantuo, 2004 .

Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations

C. Lizama, M. Murillo‐Arcila, 2022, Discrete & Continuous Dynamical Systems.

Discrete maximal regularity for volterra equations and nonlocal time-stepping schemes

C. Lizama, M. Murillo‐Arcila, 2020, Discrete & Continuous Dynamical Systems - A.

Well posedness for semidiscrete fractional Cauchy problems with finite delay

Carlos Lizama, Marina Murillo-Arcila, C. Lizama, 2017, J. Comput. Appl. Math..

Maximal Regularity and the Method of Fourier Multipliers

R. Agarwal, C. Lizama, C. Cuevas, 2014 .

Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces

C. Lizama, C. Fernández, Verónica Poblete, 2010 .

Well-posedness of second order evolution equation on discrete time

C. Lizama, C. Cuevas, Airton Castro, 2010 .

Maximal regularity for perturbed integral equations on periodic Lebesgue spaces

C. Lizama, Verónica Poblete, 2008 .

Mild Well-posedness of Abstract Differential Equations

C. Lizama, V. Keyantuo, 2007 .

Almost automorphic solutions to a class of semilinear fractional differential equations

Carlos Lizama, Claudio Cuevas, C. Lizama, 2008, Appl. Math. Lett..

Lattice Dynamical Systems Associated with a Fractional Laplacian

C. Lizama, M. Warma, V. Keyantuo, 2019, Numerical Functional Analysis and Optimization.

A characterization of well-posedness for abstract Cauchy problems with finite delay

C. Lizama, Felipe Poblete, 2018 .

Maximal regularity of delay equations in Banach spaces

C. Lizama, Verónica Poblete, 2006 .

Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay

C. Lizama, Luciano Abadias, M. Murillo‐Arcila, 2017 .

On the existence and uniqueness of (N,λ)$(N,\lambda )$-periodic solutions to a class of Volterra difference equations

C. Lizama, E. Alvarez, S. Díaz, 2019, Advances in Difference Equations.

Lebesgue regularity for differential difference equations with fractional damping

Carlos Lizama, Marina Murillo-Arcila, C. Lizama, 2018 .

Semilinear evolution equations on discrete time and maximal regularity

C. Lizama, C. Cuevas, 2010 .

Almost Automorphic Solutions of Difference Equations

Carlos Lizama, C. Lizama, Daniel B. Araya, 2009 .

Maximal Regularity of the Discrete Harmonic Oscillator Equation

C. Lizama, C. Cuevas, Airton Castro, 2009 .

Semilinear evolution equations of second order via maximal regularity.

C. Lizama, C. Cuevas, 2008 .

The time fractional approach for the modeling of thermal therapies: Temperature analysis in laser irradiation

C. Lizama, C. Lizama, M. Trujillo, 2020 .

Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type

C. Lizama, M. Warma, V. Keyantuo, 2019, Advances in Difference Equations.

Regularity of solutions to stochastic Volterra equations with infinite delay

C. Lizama, A. Karczewska, 2005, math/0503595.

On the compactness of fractional resolvent operator functions

C. Lizama, Rodrigo Ponce, Aldo Pereira, 2016 .

The Cauchy problem for discrete time fractional evolution equations

Carlos Lizama, Jia Wei He, Yong Zhou, 2020, J. Comput. Appl. Math..

Weighted bounded solutions for a class of nonlinear fractional equations

Carlos Lizama, M. P. Velasco, C. Lizama, 2016 .

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

Carlos Lizama, Edgardo Alvarez, C. Lizama, 2015, Appl. Math. Comput..

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

Carlos Lizama, Felipe Poblete, C. Lizama, 2013, Appl. Math. Comput..

Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces

C. Lizama, G. N’Guérékata, 2010 .

Solutions to stochastic fractional relaxation equations

C. Lizama, A. Karczewska, 2009 .

A mean ergodic theorem for resolvent operators

Carlos Lizama, C. Lizama, 1993 .

Existence, regularity and representation of solutions of time fractional diffusion equations

C. Lizama, M. Warma, V. Keyantuo, 2016, Advances in Differential Equations.

Well-posedness for the abstract Blackstock–Crighton–Westervelt equation

C. Lizama, Andréa C. Prokopczyk, L. Gambera, 2020, Journal of Evolution Equations.

Solutions to stochastic fractional oscillation equations

Carlos Lizama, Anna Karczewska, C. Lizama, 2010, Appl. Math. Lett..

Asymptotic Periodicity for Strongly Damped Wave Equations

C. Lizama, C. Cuevas, H. Soto, 2013 .

A characterization of periodic solutions for time‐fractional differential equations in UMD spaces and applications

Carlos Lizama, C. Lizama, Valentin Keyantuo, 2011 .

Bounded mild solutions of perturbed Volterra equations with infinite delay

C. Lizama, Sebastián Calzadillas, 2010 .

Fractional Beer-Lambert law in laser heating of biological tissue

C. Lizama, M. Murillo‐Arcila, M. Trujillo, 2022, AIMS Mathematics.

Periodic solutions of fractional differential equations with delay

C. Lizama, Verónica Poblete, 2011 .

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

C. Lizama, E. Alvarez, 2015 .

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

Carlos Lizama, Rodrigo Ponce, Edgardo Alvarez, 2015, Appl. Math. Comput..

S‐asymptotically ω‐periodic solutions for semilinear Volterra equations

Carlos Lizama, Claudio Cuevas, C. Lizama, 2010 .

Existence of ( N, λ ) -Periodic Solutions for Abstract Fractional Diﬀerence Equations

C. Lizama, E. Alvarez, 2022 .

Compact almost automorphic solutions to integral equations with infinite delay

C. Lizama, H. Henríquez, 2009 .

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

Carlos Lizama, C. Lizama, 2011, Appl. Math. Lett..

Normal periodic solutions for the fractional abstract Cauchy problem

C. Lizama, J. Bravo, 2021 .

Fourier multipliers and periodic solutions of delay equations in Banach spaces

C. Lizama, 2006 .

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

C. Lizama, V. Keyantuo, Verónica Poblete, 2009 .

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

C. Lizama, V. Keyantuo, 2005 .

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

C. Lizama, Rodrigo Ponce, 2013, Proceedings of the Edinburgh Mathematical Society.

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

C. Lizama, Rodrigo Ponce, 2011 .

Discrete Semigroups and Cosine Operators

R. Agarwal, C. Lizama, C. Cuevas, 2014 .

Regularity of Difference Equations on Banach Spaces

R. Agarwal, C. Lizama, C. Cuevas, 2014 .

Chaotic Behaviour of the Solutions of the Moore-Gibson- Thompson Equation

C. Lizama, J. Conejero, F. Rodenas, 2015 .

Well-posedness for the abstract Blackstock–Crighton–Westervelt equation

C. Lizama, Andréa C. Prokopczyk, L. Gambera, 2020, Journal of Evolution Equations.

Nonlocal Integrated Solutions for a Class of Abstract Evolution Equations

C. Lizama, Silvia Rueda, 2019, Acta Applicandae Mathematicae.

Boundary controllability for the 1D Moore–Gibson–Thompson equation

C. Lizama, S. Zamorano, 2022, Meccanica.

Well-posedness for degenerate third order equations with delay and applications to inverse problems

C. Lizama, J. Conejero, J. Seoane-Sepúlveda, 2018, Israel Journal of Mathematics.

Existence of asymptotically almost periodic solutions for damped wave equations

C. Lizama, B. Andrade, 2011 .

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

Carlos Lizama, Claudio Fernández, Verónica Poblete, 2011, Appl. Math. Comput..

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

C. Lizama, Daniel B. Araya, 2012 .

Almost automorphic solutions of Volterra equations on time scales

C. Lizama, Rodrigo Ponce, E. Toon, 2017, Differential and Integral Equations.

Inferring the fractional nature of Wu Baleanu trajectories

C. Lizama, J. Conejero, Òscar Garibo-i-Orts, 2023, Nonlinear Dynamics.

Recovering discrete delayed fractional equations from trajectories

C. Lizama, J. Conejero, Òscar Garibo-i-Orts, 2023, Mathematical Methods in the Applied Sciences.

On the Convergence and Approximation of Integrated Semigroups

C. Lizama, 1994 .

On approximation and representation of K-regularized resolvent families

Carlos Lizama, C. Lizama, 2001 .

Qualitative properties of nonlocal discrete operators

C. Lizama, Silvia Rueda, J. Bravo, 2022, Mathematical Methods in the Applied Sciences.

A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity

C. Lizama, C. Goodrich, 2020, Israel Journal of Mathematics.

Editorial: Overview and Some New Directions

T. Abdeljawad, C. Lizama, F. Atici, 2021, Fractals.

Second and third order forward difference operator: what is in between?

C. Lizama, Silvia Rueda, J. Bravo, 2021 .

Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case

C. Lizama, C. Goodrich, 2020, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Chaotic semigroups from second order partial differential equations

C. Lizama, J. Conejero, M. Murillo‐Arcila, 2017 .

Hölder continuous solutions for integro-differential equations and maximal regularity

Carlos Lizama, C. Lizama, Valentin Keyantuo, 2006 .

Singular perturbations of integro-differential equations

Carlos Lizama, Humberto Prado, C. Lizama, 2006, Appl. Math. Comput..

Uniform continuity and compactness for resolvent families of operators

C. Lizama, 1995 .

On volterra equations associated with a linear operator

C. Lizama, 1993 .

Mild Almost Periodic Solutions of Abstract Differential Equations

C. Lizama, 1989 .

On the spectrum of cosine operator functions

C. Lizama, 1989 .

Spectral properties of cosine operator functions

I. Ciorǎnescu, C. Lizama, 1988 .

Stochastic Volterra equations under perturbations

C. Lizama, A. Karczewska, 2014 .

Globally attractive mild solutions for non-local in time subdiffusion equations of neutral type

C. Lizama, Jorge González-Camus, 2020 .

Application of measure of noncompactness to volterra equations of convolution type

C. Lizama, E. Alvarez, 2016 .

Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions

C. Lizama, Edgardo Alvarez-Pardo, 2014 .

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

Carlos Lizama, C. Lizama, 2012 .

Convergence of solutions of discrete semi-linear space-time fractional evolution equations pdf

Harbir Antil, Carlos Lizama, Rodrigo Ponce, 2019, ArXiv.

Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations

Carlos Lizama, Mahamadi Warma, C. Lizama, 2013 .

On a connection between powers of operators and fractional Cauchy problems

C. Lizama, V. Keyantuo, 2012 .

Fractional relaxation equations on Banach spaces

Carlos Lizama, Humberto Prado, C. Lizama, 2010, Appl. Math. Lett..

The Abstract Cauchy Problem with Caputo–Fabrizio Fractional Derivative

C. Lizama, J. Bravo, 2022, Mathematics.

On a connection between the N-dimensional fractional Laplacian and 1-D operators on lattices

C. Lizama, M. Murillo‐Arcila, 2022, Journal of Mathematical Analysis and Applications.

On a connection between the discrete fractional Laplacian and superdiffusion

Juan Luis Varona, Carlos Lizama, Óscar Ciaurri, 2015, Appl. Math. Lett..

Uniform stability of resolvent families

C. Lizama, Vicente Vergara, 2003 .

Uniform stability of (a,k)-regularized families

Carlos Lizama, Felipe Poblete, Pedro J. Miana, 2013, Asymptot. Anal..