Edit Profile (opens in new tab) Lizama, Carlos Co-Author Distance Author ID: lizama.carlos Published as: Lizama, Carlos; Lizama, C. Homepage: http://netlizama.usach.cl External Links: MGP · ResearchGate Documents Indexed: 182 Publications since 1988, including 1 Book and 3 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 71 Co-Authors with 165 Joint Publications 2,328 Co-Co-Authors all top 5 Co-Authors 19 single-authored 22 Murillo-Arcila, Marina 17 Keyantuo, Valentin 14 Ponce, Rodrigo F. 13 Alvarez, Edgardo 13 Cuevas, Claudio 11 Warma, Mahamadi 8 Abadias, Luciano 8 Conejero, José Alberto 8 Mesquita, Jaqueline Godoy 8 Miana, Pedro J. 7 Poblete, Verónica 6 Karczewska, Anna 6 Prado, Humberto E. 4 Alvarez-Pardo, Edgardo 4 Cioranescu, Ioana 4 Goodrich, Christopher S. 4 Henríquez, Hernán R. 4 Pilar Velasco, M. 4 Poblete, Felipe 4 Rueda, Silvia 4 Zamorano, Sebastián 3 Araya, Daniela 3 Bravo, Jennifer 3 Díaz, Stiven 3 González-Camus, Jorge 3 Rebolledo Berroeta, Rolando 2 Castro, Airton 2 Fernández, Claudio A. 2 Gambera, Laura R. 2 Garibo-i-Orts, Òscar 2 Leal, Claudio 2 N’Guérékata, Gaston Mandata 2 Pereira, Aldo 2 Peris, Alfredo 2 Prokopczyk, Andréa C. 2 Roncal, Luz 2 Toon, Eduard 1 Abdeljawad, Thabet 1 Agarwal, Ravi P. 1 Antil, Harbir 1 Aparicio, Rafael 1 Banaś, Józef 1 Calzadillas, Sebastián 1 Castro, Rodrigo 1 Ciaurri, Óscar 1 de Andrade, Bruno 1 De Souza, Julio César 1 Debbouche, Amar 1 Galé, José E. 1 Grau, Rogelio 1 He, Jiawei 1 Irarrazaval, Pablo 1 Lvarez, Edgardo 1 Merdivenci Atici, Ferhan 1 Mira-Iglesias, Ainara 1 Parot, Vicente 1 Pereira, Jorge Vitório 1 Pozo, Juan Carlos 1 Rodenas, Francisco 1 Rodero, Cristóbal 1 Sánchez-Lajusticia, Luis 1 Sánchez, Justino 1 Seoane-Sepúlveda, Juan Benigno 1 Sing-Long, Carlos A. 1 Soto, Herme 1 Tejos, Cristian 1 Varona Malumbres, Juan Luis 1 Vergara, Vicente 1 Wu, Guocheng 1 Yang, Xiao-Jun 1 Zhou, Yong all top 5 Serials 17 Journal of Mathematical Analysis and Applications 8 Advances in Difference Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Proceedings of the American Mathematical Society 7 Discrete and Continuous Dynamical Systems 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematics and Computation 6 Journal of Differential Equations 6 Applied Mathematics Letters 6 Journal of Integral Equations and Applications 5 Journal of Computational and Applied Mathematics 5 Journal of Difference Equations and Applications 5 Abstract and Applied Analysis 4 Applicable Analysis 4 Israel Journal of Mathematics 4 Integral Equations and Operator Theory 4 Semigroup Forum 4 Electronic Journal of Qualitative Theory of Differential Equations 4 Journal of Evolution Equations 3 Studia Mathematica 3 Journal of Functional Analysis 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Fractional Calculus & Applied Analysis 3 Banach Journal of Mathematical Analysis 2 Mathematische Nachrichten 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Differential and Integral Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Mathematical Problems in Engineering 2 Communications on Pure and Applied Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Computers & Mathematics with Applications 1 Chaos, Solitons and Fractals 1 Archiv der Mathematik 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Southeast Asian Bulletin of Mathematics 1 Topology and its Applications 1 Mathematica Balkanica. New Series 1 Asymptotic Analysis 1 Aequationes Mathematicae 1 Fractals 1 Advances in Differential Equations 1 Electronic Communications in Probability 1 Open Systems & Information Dynamics 1 Taiwanese Journal of Mathematics 1 Chaos 1 Communications in Contemporary Mathematics 1 Cubo Matemática Educacional 1 Mediterranean Journal of Mathematics 1 International Journal of Evolution Equations 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Communications on Stochastic Analysis 1 Open Mathematics all top 5 Fields 92 Operator theory (47-XX) 67 Ordinary differential equations (34-XX) 53 Integral equations (45-XX) 50 Partial differential equations (35-XX) 35 Difference and functional equations (39-XX) 26 Real functions (26-XX) 13 Abstract harmonic analysis (43-XX) 13 Integral transforms, operational calculus (44-XX) 10 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 5 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 1 Measure and integration (28-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 160 Publications have been cited 2,198 times in 970 Documents Cited by ▼ Year ▼ Almost automorphic mild solutions to fractional differential equations. Zbl 1166.34033 Araya, Daniela; Lizama, Carlos 130 2008 Regularized solutions for abstract Volterra equations. Zbl 0952.45005 Lizama, Carlos 112 2000 The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001 Lizama, Carlos 71 2017 Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006 Cuevas, Claudio; Lizama, Carlos 69 2008 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080 Goodrich, Christopher; Lizama, Carlos 59 2020 Bounded mild solutions for semilinear integro differential equations in Banach spaces. Zbl 1209.45007 Lizama, Carlos; N’Guérékata, Gaston M. 58 2010 Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084 Lizama, Carlos; Mesquita, Jaqueline G. 45 2013 \(l_p\)-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003 Lizama, Carlos 44 2015 Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129 Lizama, Carlos; Ponce, Rodrigo 40 2011 Fourier mutlipliers and integro-differential equations in Banach spaces. Zbl 1053.45008 Keyantuo, Valentin; Lizama, Carlos 39 2004 On approximation and representation of \(k\)-regularized resolvent families. Zbl 1011.45006 Lizama, Carlos 34 2001 Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 34 2013 An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048 Lizama, Carlos 33 2011 Mild solutions for abstract fractional differential equations. Zbl 1276.34004 Lizama, Carlos; N’Guérékata, Gaston M. 33 2013 On perturbation of \(K\)-regularized resolvent families. Zbl 1051.45009 Lizama, Carlos; Sánchez, Justino 32 2003 A characterization of periodic solutions for time-fractional differential equations in \(UMD\) spaces and applications. Zbl 1221.34012 Keyantuo, Valentin; Lizama, Carlos 32 2011 Regularity of difference equations on Banach spaces. Zbl 1306.39001 Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos 32 2014 Periodic solutions of second order differential equations in Banach spaces. Zbl 1104.34041 Keyantuo, Valentin; Lizama, Carlos 31 2006 Compact almost automorphic solutions to integral equations with infinite delay. Zbl 1179.43004 Henríquez, Hernán R.; Lizama, Carlos 31 2009 Hölder continuous solutions for integro-differential equations and maximal regularity. Zbl 1115.45006 Keyantuo, Valentin; Lizama, Carlos 30 2006 Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Zbl 1073.45008 Keyantuo, Valentin; Lizama, Carlos 30 2005 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029 Goodrich, Christopher; Lizama, Carlos 30 2020 Fourier multipliers and periodic solutions of delay equations in Banach spaces. Zbl 1113.34060 Lizama, Carlos 28 2006 Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations. Zbl 1455.35289 Lizama, Carlos; Murillo-Arcila, Marina 28 2017 Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286 Lizama, Carlos; Ponce, Rodrigo 28 2013 \(S\)-asymptotically \(\omega \)-periodic solutions for semilinear Volterra equations. Zbl 1251.45007 Cuevas, Claudio; Lizama, Carlos 25 2010 Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009 Lizama, Carlos; Mesquita, Jaqueline G. 23 2013 \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\). Zbl 1359.39003 Lizama, Carlos; Murillo-Arcila, Marina 22 2017 Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034 Lizama, Carlos; Roncal, Luz 22 2018 Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205 Abadias, Luciano; Lizama, Carlos 21 2016 Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 1524.39010 Lizama, Carlos; Murillo-Arcila, Marina 21 2018 Periodic solutions of fractional differential equations with delay. Zbl 1242.34139 Lizama, Carlos; Poblete, Verónica 21 2011 Almost automorphic solutions of difference equations. Zbl 1177.39002 Araya, Daniela; Castro, Rodrigo; Lizama, Carlos 19 2009 Periodic solutions of integro-differential equations in vector-valued function spaces. Zbl 1158.45004 Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica 19 2009 Almost automorphic solutions to integral equations on the line. Zbl 1187.45005 Cuevas, Claudio; Lizama, Carlos 19 2009 Rates of approximation and ergodic limits of regularized operator families. Zbl 1032.47024 Lizama, Carlos; Prado, Humberto 19 2003 Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 18 2016 Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003 Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M. 18 2016 On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215 Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis 17 2015 On a functional equation associated with \((a, k)\)-regularized resolvent families. Zbl 1250.39012 Lizama, Carlos; Poblete, Felipe 17 2012 On duality and spectral properties of \((a,k)\)-regularized resolvents. Zbl 1206.47037 Lizama, Carlos; Prado, Humberto 17 2009 Existence of asymptotically almost periodic solutions for damped wave equations. Zbl 1221.35255 de Andrade, Bruno; Lizama, Carlos 17 2011 A connection between almost periodic functions defined on timescales and \(\mathbb{R}\). Zbl 1304.42015 Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo 16 2014 On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046 Keyantuo, Valentin; Lizama, Carlos 16 2012 Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations. Zbl 1470.34018 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 16 2013 Uniform stability of resolvent families. Zbl 1041.45015 Lizama, Carlos; Vergara, Vicente 15 2004 On the compactness of fractional resolvent operator functions. Zbl 1359.47014 Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo 15 2016 Well-posedness for degenerate third order equations with delay and applications to inverse problems. Zbl 1409.34065 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Seoane-Sepúlveda, Juan B. 15 2019 Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1220.45012 Lizama, Carlos; Ponce, Rodrigo 15 2011 On multiplicative perturbation of integral resolvent families. Zbl 1114.47041 Lizama, Carlos; Poblete, Verónica 14 2007 Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011 Alvarez-Pardo, Edgardo; Lizama, Carlos 14 2015 Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006 Alvarez-Pardo, Edgardo; Lizama, Carlos 13 2014 On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007 Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos 12 2012 Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo 12 2017 Semilinear evolution equations of second order via maximal regularity. Zbl 1155.47056 Cuevas, Claudio; Lizama, Carlos 12 2008 Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062 Lizama, Carlos; Pozo, Juan C. 12 2012 On the convergence and approximation of integrated semigroups. Zbl 0815.47053 Lizama, Carlos 12 1994 The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148 He, Jia Wei; Lizama, Carlos; Zhou, Yong 12 2020 Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012 Lizama, Carlos; Pilar Velasco, M. 12 2016 Maximal regularity of delay equations in Banach spaces. Zbl 1112.34065 Lizama, Carlos; Poblete, Verónica 11 2006 Strong solutions to stochastic Volterra equations. Zbl 1158.60028 Karczewska, Anna; Lizama, Carlos 11 2009 Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405 Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio 11 2018 On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267 Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar 11 2019 Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197 Lizama, Carlos; Zamorano, Sebastián 11 2019 Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016 Lizama, Carlos; Poblete, Felipe 10 2013 Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027 Lizama, Carlos 10 2012 Well posedness for a class of flexible structure in Hölder spaces. Zbl 1331.35337 Cuevas, Claudio; Lizama, Carlos 10 2009 On an extension of the Trotter-Kato theorem for resolvent families of operators. Zbl 0739.47016 Lizama, C. 10 1990 Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031 Goodrich, Christopher; Lizama, Carlos 10 2022 Spectral properties of cosine operator functions. Zbl 0675.47029 Cioranescu, Ioana; Lizama, Carlos 9 1988 Algebra homomorphisms defined via convoluted semigroups and cosine functions. Zbl 1190.47045 Keyantuo, Valentin; Lizama, Carlos; Miana, Pedro J. 9 2009 Semilinear evolution equations on discrete time and maximal regularity. Zbl 1182.47054 Cuevas, Claudio; Lizama, Carlos 9 2010 Maximal regularity of discrete second order Cauchy problems in Banach spaces. Zbl 1133.39014 Cuevas, Claudio; Lizama, Carlos 9 2007 On Volterra equations associated with a linear operator. Zbl 0781.45013 Lizama, Carlos 9 1993 Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003 Lizama, Carlos; Murillo-Arcila, Marina 9 2020 Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188 Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo 9 2015 Regularity of solutions for a third order differential equation in Hilbert spaces. Zbl 1222.34067 Fernández, Claudio; Lizama, Carlos; Poblete, Verónica 9 2011 On the inversion of the Laplace transform for resolvent families in \(UMD\) spaces. Zbl 1043.44002 Cioranescu, Ioana; Lizama, Carlos 8 2003 Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012 Cuevas, Claudio; Lizama, Carlos 8 2013 Fractional relaxation equations on Banach spaces. Zbl 1214.34047 Lizama, Carlos; Prado, Humberto 8 2010 Chaotic semigroups from second order partial differential equations. Zbl 1480.35298 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina 8 2017 A mean ergodic theorem for resolvent operators. Zbl 0799.47024 Lizama, Carlos 8 1993 Attractivity for functional Volterra integral equations of convolution type. Zbl 1332.65186 Alvarez, Edgardo; Lizama, Carlos 7 2016 Maximal regularity for flexible structural systems in Lebesgue spaces. Zbl 1191.74017 Fernández, Claudio; Lizama, Carlos; Poblete, Verónica 7 2010 Solutions to stochastic fractional oscillation equations. Zbl 1202.60099 Karczewska, Anna; Lizama, Carlos 7 2010 Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2017 Fundamental solutions for discrete dynamical systems involving the fractional Laplacian. Zbl 1423.35398 González-Camus, Jorge; Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2019 Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011 Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina 7 2018 Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092 Lizama, Carlos; Alvarez-Pardo, Edgardo 7 2013 Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1346.45002 Alvarez, Edgardo; Lizama, Carlos 7 2015 Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007 Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina 7 2018 Lattice dynamical systems associated with a fractional Laplacian. Zbl 1417.49031 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2019 Fundamental solutions for semidiscrete evolution equations via Banach algebras. Zbl 1485.35384 González-Camus, Jorge; Lizama, Carlos; Miana, Pedro J. 7 2021 Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034 Abadias, Luciano; Lizama, Carlos; Miana, Pedro J. 6 2016 Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175 Cuevas, Claudio; Lizama, Carlos; Soto, Herme 6 2013 On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033 Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis 6 2014 Maximal regularity for perturbed integral equations on periodic Lebesgue spaces. Zbl 1163.45011 Lizama, Carlos; Poblete, Verónica 6 2008 Stochastic Volterra equations driven by cylindrical Wiener process. Zbl 1120.60062 Karczewska, Anna; Lizama, Carlos 6 2007 Some applications of Fejer’s theorem to operator cosine functions in Banach spaces. Zbl 0887.47035 Ciorănescu, Ioana; Lizama, Carlos 6 1997 Uniform stability of \((a,k)\)-regularized families. Zbl 1294.47062 Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe 6 2013 On the dynamics of the damped extensible beam 1D-equation. Zbl 1517.47078 Lizama, Carlos; Murillo-Arcila, Marina 2 2023 Poisson equation and discrete one-sided Hilbert transform for \((C, \alpha)\)-bounded operators. Zbl 07677696 Abadias, Luciano; Galé, José E.; Lizama, Carlos 1 2023 The semidiscrete damped wave equation with a fractional Laplacian. Zbl 1510.35382 Lizama, Carlos; Murillo-Arcila, Marina 1 2023 Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031 Goodrich, Christopher; Lizama, Carlos 10 2022 Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations. Zbl 1484.39010 Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos 5 2022 Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation. Zbl 1496.35033 Alvarez, Edgardo; Lizama, Carlos 3 2022 \(C\)-semigroups, subordination principle and the Lévy \(\alpha\)-stable distribution on discrete time. Zbl 1485.39005 Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos 3 2022 Exterior controllability properties for a fractional Moore-Gibson-Thompson equation. Zbl 1503.35269 Lizama, Carlos; Warma, Mahamadi; Zamorano, Sebastián 3 2022 On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices. Zbl 1489.39027 Lizama, Carlos; Murillo-Arcila, Marina 2 2022 Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations. Zbl 1492.65145 Lizama, Carlos; Murillo-Arcila, Marina 1 2022 Qualitative properties of nonlocal discrete operators. Zbl 1527.39010 Bravo, Jennifer; Lizama, Carlos; Rueda, Silvia 1 2022 Fundamental solutions for semidiscrete evolution equations via Banach algebras. Zbl 1485.35384 González-Camus, Jorge; Lizama, Carlos; Miana, Pedro J. 7 2021 Solutions of abstract integro-differential equations via Poisson transformation. Zbl 1470.45017 Lizama, Carlos; Ponce, Rodrigo 4 2021 Well-posedness for the abstract Blackstock-Crighton-Westervelt equation. Zbl 1462.35204 Gambera, Laura R.; Lizama, Carlos; Prokopczyk, Andréa 3 2021 Second and third order forward difference operator: what is in between? Zbl 1467.39012 Bravo, Jennifer; Lizama, Carlos; Rueda, Silvia 2 2021 Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type. Zbl 1513.35337 Lizama, Carlos; Murillo-Arcila, Marina 2 2021 Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations. Zbl 1488.45006 Alvarez, Edgardo; Grau, Rogelio; Lizama, Carlos; Mesquita, Jaqueline 1 2021 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080 Goodrich, Christopher; Lizama, Carlos 59 2020 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029 Goodrich, Christopher; Lizama, Carlos 30 2020 The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148 He, Jia Wei; Lizama, Carlos; Zhou, Yong 12 2020 Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003 Lizama, Carlos; Murillo-Arcila, Marina 9 2020 Nonlocal operators are chaotic. Zbl 1533.47010 Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfred 3 2020 Semigroups on time scales and applications to abstract Cauchy problems. Zbl 1469.34119 Henríquez, Hernán R.; Lizama, Carlos; Mesquita, Jaqueline G. 3 2020 \(L^p-L^q\)-maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain. Zbl 1486.49037 Lizama, Carlos; Murillo-Arcila, Marina 1 2020 Well-posedness for degenerate third order equations with delay and applications to inverse problems. Zbl 1409.34065 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Seoane-Sepúlveda, Juan B. 15 2019 On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267 Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar 11 2019 Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197 Lizama, Carlos; Zamorano, Sebastián 11 2019 Fundamental solutions for discrete dynamical systems involving the fractional Laplacian. Zbl 1423.35398 González-Camus, Jorge; Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2019 Lattice dynamical systems associated with a fractional Laplacian. Zbl 1417.49031 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2019 On the existence and uniqueness of \((N,\lambda )\)-periodic solutions to a class of Volterra difference equations. Zbl 1459.39027 Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos 6 2019 Visibility graphs of fractional Wu-Baleanu time series. Zbl 1429.37046 Conejero, J. Alberto; Lizama, Carlos; Mira-Iglesias, Ainara; Rodero, Cristóbal 3 2019 Nonlocal integrated solutions for a class of abstract evolution equations. Zbl 07127986 Lizama, Carlos; Rueda, Silvia 1 2019 Asymptotically almost automorphic solutions of dynamic equations on time scales. Zbl 1429.34089 Lizama, Carlos; Mesquita, Jaqueline G. 1 2019 On close to scalar families for fractional evolution equations: zero-one law. Zbl 1484.47072 Gambera, Laura R.; Lizama, Carlos; Prokopczyk, Andrea 1 2019 Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type. Zbl 1459.39001 Keyantuo, Valentin; Lizama, Carlos; Rueda, Silvia; Warma, Mahamadi 1 2019 Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034 Lizama, Carlos; Roncal, Luz 22 2018 Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 1524.39010 Lizama, Carlos; Murillo-Arcila, Marina 21 2018 Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405 Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio 11 2018 Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011 Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina 7 2018 Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007 Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina 7 2018 A characterization of well-posedness for abstract Cauchy problems with finite delay. Zbl 1371.34088 Lizama, Carlos; Poblete, Felipe 3 2018 Editorial: Modern fractional dynamic systems and applications, MFDSA 2017. Special issue in honor of: R. P. Agarwal, D. Baleanu, J. J. Nieto, D. F. M. Torres and Y. Zhou. Highly cited researchers in the field. Zbl 1395.00039 3 2018 Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities. Zbl 1404.45001 Abadias, Luciano; Alvarez, Edgardo; Lizama, Carlos 2 2018 The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001 Lizama, Carlos 71 2017 Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations. Zbl 1455.35289 Lizama, Carlos; Murillo-Arcila, Marina 28 2017 \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\). Zbl 1359.39003 Lizama, Carlos; Murillo-Arcila, Marina 22 2017 Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo 12 2017 Chaotic semigroups from second order partial differential equations. Zbl 1480.35298 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina 8 2017 Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 7 2017 On the exponential stability of Samuelson model on some classes of times scales. Zbl 1366.91111 Lizama, Carlos; Pereira, Jorge; Toon, Eduard 5 2017 Almost automorphic solutions of Volterra equations on time scales. Zbl 1413.35354 Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo; Toon, Eduard 3 2017 Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205 Abadias, Luciano; Lizama, Carlos 21 2016 Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 18 2016 Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003 Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M. 18 2016 On the compactness of fractional resolvent operator functions. Zbl 1359.47014 Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo 15 2016 Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012 Lizama, Carlos; Pilar Velasco, M. 12 2016 Attractivity for functional Volterra integral equations of convolution type. Zbl 1332.65186 Alvarez, Edgardo; Lizama, Carlos 7 2016 Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034 Abadias, Luciano; Lizama, Carlos; Miana, Pedro J. 6 2016 Weighted pseudo almost automorphic and \(S\)-asymptotically \(\omega\)-periodic solutions to fractional difference-differential equation. Zbl 1355.35194 Lvarez, Edgardo; Lizama, Carlos 5 2016 Dynamics of the solutions of the water hammer equations. Zbl 1381.76146 Conejero, J. Alberto; Lizama, Carlos; Rodenas, Francisco 4 2016 On the existence of chaos for the viscous van Wijngaarden-Eringen equation. Zbl 1360.35170 Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina 4 2016 Application of measure of noncompactness to Volterra equations of convolution type. Zbl 1355.45005 Alvarez, Edgardo; Lizama, Carlos 3 2016 \(l_p\)-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003 Lizama, Carlos 44 2015 On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215 Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis 17 2015 Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011 Alvarez-Pardo, Edgardo; Lizama, Carlos 14 2015 Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188 Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo 9 2015 Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1346.45002 Alvarez, Edgardo; Lizama, Carlos 7 2015 Abstract Volterra equations with state-dependent delay. Zbl 1328.34075 Lizama, Carlos; Velasco, M. Pilar 1 2015 Norm continuity for strongly continuous families of operators. Zbl 1461.47020 Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo 1 2015 Addendum to: “Almost automorphic solutions of dynamic equations on time scales”. Zbl 1330.34144 Lizama, Carlos; Mesquita, Jaqueline G. 1 2015 Regularity of difference equations on Banach spaces. Zbl 1306.39001 Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos 32 2014 A connection between almost periodic functions defined on timescales and \(\mathbb{R}\). Zbl 1304.42015 Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo 16 2014 Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006 Alvarez-Pardo, Edgardo; Lizama, Carlos 13 2014 On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033 Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis 6 2014 Stochastic Volterra equations under perturbations. Zbl 1314.60134 Karczewska, Anna; Lizama, Carlos 4 2014 Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084 Lizama, Carlos; Mesquita, Jaqueline G. 45 2013 Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 34 2013 Mild solutions for abstract fractional differential equations. Zbl 1276.34004 Lizama, Carlos; N’Guérékata, Gaston M. 33 2013 Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286 Lizama, Carlos; Ponce, Rodrigo 28 2013 Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009 Lizama, Carlos; Mesquita, Jaqueline G. 23 2013 Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations. Zbl 1470.34018 Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi 16 2013 Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016 Lizama, Carlos; Poblete, Felipe 10 2013 Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012 Cuevas, Claudio; Lizama, Carlos 8 2013 Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092 Lizama, Carlos; Alvarez-Pardo, Edgardo 7 2013 Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175 Cuevas, Claudio; Lizama, Carlos; Soto, Herme 6 2013 Uniform stability of \((a,k)\)-regularized families. Zbl 1294.47062 Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe 6 2013 On a functional equation associated with \((a, k)\)-regularized resolvent families. Zbl 1250.39012 Lizama, Carlos; Poblete, Felipe 17 2012 On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046 Keyantuo, Valentin; Lizama, Carlos 16 2012 On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007 Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos 12 2012 Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062 Lizama, Carlos; Pozo, Juan C. 12 2012 Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027 Lizama, Carlos 10 2012 Periodic solutions of abstract functional differential equations with infinite delay. Zbl 1247.34118 Henríquez, Hernán R.; Lizama, Carlos 5 2012 Existence of asymptotically almost automorphic solutions for a third order differential equation. Zbl 1340.43003 Araya, Daniela; Lizama, Carlos 4 2012 The complex inversion formula in UMD spaces for families of bounded operators. Zbl 1252.34065 Lizama, Carlos; De Souza, Julio Cesar 2 2012 The maximal subspace for generation of \((a, k)\)-regularized families. Zbl 1311.47057 Alvarez-Pardo, Edgardo; Lizama, Carlos 1 2012 Maximal regularity for perturbed integral equations on the line. Zbl 1267.45021 Lizama, Carlos; Ponce, Rodrigo 1 2012 Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129 Lizama, Carlos; Ponce, Rodrigo 40 2011 An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048 Lizama, Carlos 33 2011 A characterization of periodic solutions for time-fractional differential equations in \(UMD\) spaces and applications. Zbl 1221.34012 Keyantuo, Valentin; Lizama, Carlos 32 2011 Periodic solutions of fractional differential equations with delay. Zbl 1242.34139 Lizama, Carlos; Poblete, Verónica 21 2011 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 943 Authors 129 Lizama, Carlos 40 Bu, Shangquan 39 Cuevas, Claudio 37 Ponce, Rodrigo F. 34 Goodrich, Christopher S. 32 Kostić, Marko 28 Chang, Yong-Kui 28 N’Guérékata, Gaston Mandata 27 Cai, Gang 23 Murillo-Arcila, Marina 21 Abadias, Luciano 18 Miana, Pedro J. 16 Abbas, Syed 16 Agarwal, Ravi P. 16 Keyantuo, Valentin 15 Alvarez, Edgardo 15 Nieto Roig, Juan Jose 15 Xia, Zhinan 14 Ahmad, Bashir 13 Fan, Zhenbin 13 Li, Miao 13 Piskarëv, S. I. 13 Zhou, Yong 12 Henríquez, Hernán R. 12 Poblete, Verónica 12 Soto, Herme 11 Băleanu, Dumitru I. 11 de Andrade, Bruno 11 Warma, Mahamadi 10 Li, Gang 10 Liang, Jin 9 Benchohra, Mouffak 9 Dabas, Jaydev 9 Ezzinbi, Khalil 9 Mesquita, Jaqueline Godoy 9 Pinto, Manuel 8 Cao, Junfei 8 Ntouyas, Sotiris K. 7 Al-saedi, Ahmed Eid Salem 7 Gautam, Ganga Ram 7 Hamed, Yasser S. 7 Li, Yongkun 7 Mohammed, Pshtiwan Othman 7 Mophou, Gisèle Massengo 7 O’Regan, Donal 7 Pandey, Dwijendra Narain 7 Peng, Jigen 7 Rueda, Silvia 7 Wang, Jinrong 7 Xiao, Ti-Jun 7 Zhu, Bo 6 Dassios, Ioannis K. 6 Dhama, Soniya 6 Ding, Huisheng 6 Fu, Xianlong 6 González-Camus, Jorge 6 Li, Yongxiang 6 Malik, Muslim 6 Mei, Zhandong 6 Vu Trong Luong 6 Wang, Chao 6 Wang, Rongnian 5 Ashyralyev, Allaberen 5 Conejero, José Alberto 5 Dahal, Rajendra 5 Dantas, Filipe 5 Gou, Haide 5 Koyuncuoğlu, Halis Can 5 Litimein, Sara 5 Lyons, Benjamin 5 Pereira, Aldo 5 Peris, Alfredo 5 Pozo, Juan Carlos 5 Prado, Humberto E. 5 Said-Houari, Belkacem 5 Shakhmurov, Veli B. 5 Singh, Vikram 5 Vanterler da Costa Sousa, José 5 Wei, Yanyan 5 Zhu, Shouguo 4 Castro, Airton 4 Chen, Chuang 4 Chen, Yiju 4 De Souza, Julio César 4 Dhayal, Rajesh 4 Díaz, Stiven 4 Diop, Amadou 4 Gil’, Michael Iosif 4 Huang, Zaitang 4 Jonnalagadda, Jagan Mohan 4 Karczewska, Anna 4 Leal, Claudio 4 Liu, Lishan 4 Pierri, Michelle 4 Pilar Velasco, M. 4 Poblete, Felipe 4 Sakthivel, Rathinasamy 4 Sánchez-Lajusticia, Luis 4 Shu, Xiaobao 4 Srivastava, Hari Mohan ...and 843 more Authors all top 5 Cited in 222 Serials 51 Advances in Difference Equations 50 Mathematical Methods in the Applied Sciences 38 Journal of Mathematical Analysis and Applications 34 Fractional Calculus & Applied Analysis 26 Abstract and Applied Analysis 24 Applied Mathematics and Computation 22 Computers & Mathematics with Applications 21 Mathematische Nachrichten 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Mediterranean Journal of Mathematics 18 Applied Mathematics Letters 18 Journal of Evolution Equations 17 Semigroup Forum 16 Journal of Difference Equations and Applications 15 Applicable Analysis 14 Journal of Computational and Applied Mathematics 14 Journal of Differential Equations 14 Boundary Value Problems 12 Proceedings of the American Mathematical Society 12 Fractional Differential Calculus 11 Journal of Integral Equations and Applications 11 Journal of Fixed Point Theory and Applications 11 Journal of Function Spaces 9 Journal of Functional Analysis 9 Results in Mathematics 9 Discrete and Continuous Dynamical Systems 9 Discrete Dynamics in Nature and Society 9 Evolution Equations and Control Theory 8 Israel Journal of Mathematics 8 Banach Journal of Mathematical Analysis 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. 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Series B 5 Communications on Pure and Applied Analysis 5 Cubo 5 Annals of Functional Analysis 5 AIMS Mathematics 4 Studia Mathematica 4 Applied Mathematics and Optimization 4 Mathematische Zeitschrift 4 SIAM Journal on Numerical Analysis 4 Stochastic Analysis and Applications 4 Acta Applicandae Mathematicae 4 Journal of Mathematical Sciences (New York) 4 Filomat 4 Differential Equations and Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Applied Mathematics and Computing 4 African Diaspora Journal of Mathematics 4 Asian-European Journal of Mathematics 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Quaestiones Mathematicae 3 Neural Networks 3 International Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Computational and Applied Mathematics 3 Turkish Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Nonlinear Dynamics 3 Chaos 3 Communications in Contemporary Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Differential Equations 3 Nonlinear Analysis. Modelling and Control 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Stochastics and Dynamics 3 Journal of Function Spaces and Applications 3 Mathematical Biosciences and Engineering 3 Complex Analysis and Operator Theory 3 Tbilisi Mathematical Journal 3 Differential Equations and Applications 3 Journal of Nonlinear Evolution Equations and Applications 3 Proceedings of the American Mathematical Society. Series B 2 Ukrainian Mathematical Journal 2 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 2 Advances in Mathematics 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Journal of Approximation Theory 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen ...and 122 more Serials all top 5 Cited in 40 Fields 526 Ordinary differential equations (34-XX) 403 Operator theory (47-XX) 207 Partial differential equations (35-XX) 187 Integral equations (45-XX) 180 Real functions (26-XX) 126 Difference and functional equations (39-XX) 86 Abstract harmonic analysis (43-XX) 66 Systems theory; control (93-XX) 57 Probability theory and stochastic processes (60-XX) 57 Numerical analysis (65-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 38 Dynamical systems and ergodic theory (37-XX) 34 Biology and other natural sciences (92-XX) 29 Integral transforms, operational calculus (44-XX) 24 Functional analysis (46-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Special functions (33-XX) 13 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year