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Author ID: lizama.carlos Recent zbMATH articles by "Lizama, Carlos"
Published as: Lizama, Carlos; Lizama, C.
Homepage: http://netlizama.usach.cl
External Links: MGP · ResearchGate
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Serials

15 Journal of Mathematical Analysis and Applications
8 Advances in Difference Equations
6 Applied Mathematics and Computation
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Proceedings of the American Mathematical Society
6 Journal of Integral Equations and Applications
5 Journal of Computational and Applied Mathematics
5 Applied Mathematics Letters
5 Journal of Difference Equations and Applications
5 Discrete and Continuous Dynamical Systems
5 Abstract and Applied Analysis
4 Applicable Analysis
4 Mathematical Methods in the Applied Sciences
4 Integral Equations and Operator Theory
4 Journal of Differential Equations
4 Semigroup Forum
4 Electronic Journal of Qualitative Theory of Differential Equations
4 Journal of Evolution Equations
3 Israel Journal of Mathematics
3 Studia Mathematica
3 Journal of Functional Analysis
3 Topological Methods in Nonlinear Analysis
3 Electronic Journal of Differential Equations (EJDE)
3 Banach Journal of Mathematical Analysis
2 Mathematische Nachrichten
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 Fractional Calculus & Applied Analysis
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 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Results in Mathematics
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 Communications on Pure and Applied Analysis
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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Open Mathematics

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 1,618 times in 735 Documents Cited by Year
Almost automorphic mild solutions to fractional differential equations. Zbl 1166.34033
Araya, Daniela; Lizama, Carlos
112
2008
Regularized solutions for abstract Volterra equations. Zbl 0952.45005
Lizama, Carlos
98
2000
Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006
Cuevas, Claudio; Lizama, Carlos
62
2008
The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001
Lizama, Carlos
50
2017
Bounded mild solutions for semilinear integro differential equations in Banach spaces. Zbl 1209.45007
Lizama, Carlos; N’Guérékata, Gaston M.
46
2010
Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084
Lizama, Carlos; Mesquita, Jaqueline G.
34
2013
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
33
2020
On approximation and representation of \(k\)-regularized resolvent families. Zbl 1011.45006
Lizama, Carlos
32
2001
\(l_p\)-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003
Lizama, Carlos
32
2015
Fourier mutlipliers and integro-differential equations in Banach spaces. Zbl 1053.45008
Keyantuo, Valentin; Lizama, Carlos
31
2004
An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048
Lizama, Carlos
30
2011
Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129
Lizama, Carlos; Ponce, Rodrigo
30
2011
On perturbation of \(K\)-regularized resolvent families. Zbl 1051.45009
Lizama, Carlos; Sánchez, Justino
29
2003
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Zbl 1073.45008
Keyantuo, Valentin; Lizama, Carlos
28
2005
Compact almost automorphic solutions to integral equations with infinite delay. Zbl 1179.43004
Henríquez, Hernán R.; Lizama, Carlos
26
2009
Hölder continuous solutions for integro-differential equations and maximal regularity. Zbl 1115.45006
Keyantuo, Valentin; Lizama, Carlos
25
2006
Mild solutions for abstract fractional differential equations. Zbl 1276.34004
Lizama, Carlos; N’Guérékata, Gaston M.
24
2013
A characterization of periodic solutions for time-fractional differential equations in \(UMD\) spaces and applications. Zbl 1221.34012
Keyantuo, Valentin; Lizama, Carlos
24
2011
Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
23
2013
\(S\)-asymptotically \(\omega \)-periodic solutions for semilinear Volterra equations. Zbl 1251.45007
Cuevas, Claudio; Lizama, Carlos
23
2010
Periodic solutions of second order differential equations in Banach spaces. Zbl 1104.34041
Keyantuo, Valentin; Lizama, Carlos
22
2006
Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286
Lizama, Carlos; Ponce, Rodrigo
20
2013
Fourier multipliers and periodic solutions of delay equations in Banach spaces. Zbl 1113.34060
Lizama, Carlos
20
2006
Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009
Lizama, Carlos; Mesquita, Jaqueline G.
20
2013
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
20
2020
Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205
Abadias, Luciano; Lizama, Carlos
19
2016
Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations. Zbl 1455.35289
Lizama, Carlos; Murillo-Arcila, Marina
19
2017
Rates of approximation and ergodic limits of regularized operator families. Zbl 1032.47024
Lizama, Carlos; Prado, Humberto
18
2003
Regularity of difference equations on Banach spaces. Zbl 1306.39001
Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos
17
2014
Almost automorphic solutions to integral equations on the line. Zbl 1187.45005
Cuevas, Claudio; Lizama, Carlos
17
2009
On a functional equation associated with \((a, k)\)-regularized resolvent families. Zbl 1250.39012
Lizama, Carlos; Poblete, Felipe
16
2012
\(\ell_p\)-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
16
2017
On the compactness of fractional resolvent operator functions. Zbl 1359.47014
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
15
2016
Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M.
15
2016
Almost automorphic solutions of difference equations. Zbl 1177.39002
Araya, Daniela; Castro, Rodrigo; Lizama, Carlos
15
2009
Existence of asymptotically almost periodic solutions for damped wave equations. Zbl 1221.35255
de Andrade, Bruno; Lizama, Carlos
14
2011
On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046
Keyantuo, Valentin; Lizama, Carlos
14
2012
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
13
2016
A connection between almost periodic functions defined on timescales and \(\mathbb{R}\). Zbl 1304.42015
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo
13
2014
Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 06867165
Lizama, Carlos; Murillo-Arcila, Marina
13
2018
On duality and spectral properties of \((a,k)\)-regularized resolvents. Zbl 1206.47037
Lizama, Carlos; Prado, Humberto
13
2009
Periodic solutions of fractional differential equations with delay. Zbl 1242.34139
Lizama, Carlos; Poblete, Verónica
13
2011
Uniform stability of resolvent families. Zbl 1041.45015
Lizama, Carlos; Vergara, Vicente
12
2004
On the convergence and approximation of integrated semigroups. Zbl 0815.47053
Lizama, Carlos
12
1994
Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012
Lizama, Carlos; Pilar Velasco, M.
12
2016
On multiplicative perturbation of integral resolvent families. Zbl 1114.47041
Lizama, Carlos; Poblete, Verónica
12
2007
Periodic solutions of integro-differential equations in vector-valued function spaces. Zbl 1158.45004
Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica
12
2009
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1220.45012
Lizama, Carlos; Ponce, Rodrigo
11
2011
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
11
2013
Semilinear evolution equations of second order via maximal regularity. Zbl 1155.47056
Cuevas, Claudio; Lizama, Carlos
10
2008
Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062
Lizama, Carlos; Pozo, Juan C.
10
2012
On an extension of the Trotter-Kato theorem for resolvent families of operators. Zbl 0739.47016
Lizama, C.
10
1990
On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267
Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar
9
2019
Maximal regularity of delay equations in Banach spaces. Zbl 1112.34065
Lizama, Carlos; Poblete, Verónica
9
2006
On Volterra equations associated with a linear operator. Zbl 0781.45013
Lizama, Carlos
9
1993
Algebra homomorphisms defined via convoluted semigroups and cosine functions. Zbl 1190.47045
Keyantuo, Valentin; Lizama, Carlos; Miana, Pedro J.
9
2009
On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007
Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos
9
2012
Spectral properties of cosine operator functions. Zbl 0675.47029
Cioranescu, Ioana; Lizama, Carlos
8
1988
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011
Alvarez-Pardo, Edgardo; Lizama, Carlos
8
2015
Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016
Lizama, Carlos; Poblete, Felipe
8
2013
Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405
Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio
8
2018
Well posedness for a class of flexible structure in Hölder spaces. Zbl 1331.35337
Cuevas, Claudio; Lizama, Carlos
8
2009
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034
Lizama, Carlos; Roncal, Luz
8
2018
On the inversion of the Laplace transform for resolvent families in \(UMD\) spaces. Zbl 1043.44002
Cioranescu, Ioana; Lizama, Carlos
7
2003
Strong solutions to stochastic Volterra equations. Zbl 1158.60028
Karczewska, Anna; Lizama, Carlos
7
2009
Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006
Alvarez-Pardo, Edgardo; Lizama, Carlos
7
2014
A mean ergodic theorem for resolvent operators. Zbl 0799.47024
Lizama, Carlos
7
1993
On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215
Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis
7
2015
Maximal regularity of discrete second order Cauchy problems in Banach spaces. Zbl 1133.39014
Cuevas, Claudio; Lizama, Carlos
7
2007
Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo
7
2017
Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092
Lizama, Carlos; Alvarez-Pardo, Edgardo
6
2013
Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012
Cuevas, Claudio; Lizama, Carlos
6
2013
Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027
Lizama, Carlos
6
2012
Regularity of solutions for a third order differential equation in Hilbert spaces. Zbl 1222.34067
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
6
2011
Maximal regularity for flexible structural systems in Lebesgue spaces. Zbl 1191.74017
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
6
2010
Semilinear evolution equations on discrete time and maximal regularity. Zbl 1182.47054
Cuevas, Claudio; Lizama, Carlos
6
2010
A characterization of uniform continuity for Volterra equations in Hilbert spaces. Zbl 0905.47028
Lizama, Carlos
5
1998
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
5
2019
The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148
He, Jia Wei; Lizama, Carlos; Zhou, Yong
5
2020
Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175
Cuevas, Claudio; Lizama, Carlos; Soto, Herme
5
2013
Periodic solutions of abstract functional differential equations with infinite delay. Zbl 1247.34118
Henríquez, Hernán R.; Lizama, Carlos
5
2012
Solutions to stochastic fractional oscillation equations. Zbl 1202.60099
Karczewska, Anna; Lizama, Carlos
5
2010
Fractional relaxation equations on Banach spaces. Zbl 1214.34047
Lizama, Carlos; Prado, Humberto
5
2010
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188
Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo
5
2015
A Landau-Kolmogorov inequality for generators of families of bounded operators. Zbl 1205.47018
Lizama, Carlos; Miana, Pedro J.
5
2010
Uniform stability of \((a,k)\)-regularized families. Zbl 1294.47062
Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe
4
2013
Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007
Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina
4
2018
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011
Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina
4
2018
Maximal regularity for perturbed integral equations on periodic Lebesgue spaces. Zbl 1163.45011
Lizama, Carlos; Poblete, Verónica
4
2008
Stochastic Volterra equations driven by cylindrical Wiener process. Zbl 1120.60062
Karczewska, Anna; Lizama, Carlos
4
2007
Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197
Lizama, Carlos; Zamorano, Sebastián
4
2019
Uniform continuity and compactness for resolvent families of operators. Zbl 0842.45009
Lizama, Carlos
4
1995
Weighted pseudo almost automorphic and \(S\)-asymptotically \(\omega\)-periodic solutions to fractional difference-differential equation. Zbl 1355.35194
Lvarez, Edgardo; Lizama, Carlos
4
2016
Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
4
2017
On the exponential stability of Samuelson model on some classes of times scales. Zbl 1366.91111
Lizama, Carlos; Pereira, Jorge; Toon, Eduard
4
2017
Mild well-posedness of abstract differential equations. Zbl 1170.47026
Keyantuo, Valentin; Lizama, Carlos
4
2008
Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.
4
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.
3
2019
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003
Lizama, Carlos; Murillo-Arcila, Marina
3
2020
On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033
Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis
3
2014
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 07483484
Goodrich, Christopher; Lizama, Carlos
1
2022
Solutions of abstract integro-differential equations via Poisson transformation. Zbl 1470.45017
Lizama, Carlos; Ponce, Rodrigo
2
2021
Second and third order forward difference operator: what is in between? Zbl 1467.39012
Bravo, Jennifer; Lizama, Carlos; Rueda, Silvia
1
2021
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
33
2020
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
20
2020
The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148
He, Jia Wei; Lizama, Carlos; Zhou, Yong
5
2020
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003
Lizama, Carlos; Murillo-Arcila, Marina
3
2020
Semigroups on time scales and applications to abstract Cauchy problems. Zbl 1469.34119
Henríquez, Hernán R.; Lizama, Carlos; Mesquita, Jaqueline G.
1
2020
On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267
Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar
9
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
5
2019
Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197
Lizama, Carlos; Zamorano, Sebastián
4
2019
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.
3
2019
Lattice dynamical systems associated with a fractional Laplacian. Zbl 1417.49031
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2
2019
Fundamental solutions for discrete dynamical systems involving the fractional Laplacian. Zbl 1423.35398
González-Camus, Jorge; Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2
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
Nonlocal integrated solutions for a class of abstract evolution equations. Zbl 07127986
Lizama, Carlos; Rueda, Silvia
1
2019
Visibility graphs of fractional Wu-Baleanu time series. Zbl 1429.37046
Conejero, J. Alberto; Lizama, Carlos; Mira-Iglesias, Ainara; Rodero, Cristóbal
1
2019
Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 06867165
Lizama, Carlos; Murillo-Arcila, Marina
13
2018
Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405
Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio
8
2018
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034
Lizama, Carlos; Roncal, Luz
8
2018
Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007
Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina
4
2018
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011
Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina
4
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
1
2018
A characterization of well-posedness for abstract Cauchy problems with finite delay. Zbl 1371.34088
Lizama, Carlos; Poblete, Felipe
1
2018
The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001
Lizama, Carlos
50
2017
Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations. Zbl 1455.35289
Lizama, Carlos; Murillo-Arcila, Marina
19
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
16
2017
Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo
7
2017
Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
4
2017
On the exponential stability of Samuelson model on some classes of times scales. Zbl 1366.91111
Lizama, Carlos; Pereira, Jorge; Toon, Eduard
4
2017
Chaotic semigroups from second order partial differential equations. Zbl 1480.35298
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina
3
2017
Almost automorphic solutions of Volterra equations on time scales. Zbl 1413.35354
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo; Toon, Eduard
1
2017
Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205
Abadias, Luciano; Lizama, Carlos
19
2016
On the compactness of fractional resolvent operator functions. Zbl 1359.47014
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
15
2016
Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M.
15
2016
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
13
2016
Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012
Lizama, Carlos; Pilar Velasco, M.
12
2016
Weighted pseudo almost automorphic and \(S\)-asymptotically \(\omega\)-periodic solutions to fractional difference-differential equation. Zbl 1355.35194
Lvarez, Edgardo; Lizama, Carlos
4
2016
Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.
4
2016
Application of measure of noncompactness to Volterra equations of convolution type. Zbl 1355.45005
Alvarez, Edgardo; Lizama, Carlos
2
2016
Attractivity for functional Volterra integral equations of convolution type. Zbl 1332.65186
Alvarez, Edgardo; Lizama, Carlos
2
2016
Dynamics of the solutions of the water hammer equations. Zbl 1381.76146
Conejero, J. Alberto; Lizama, Carlos; Rodenas, Francisco
2
2016
On the existence of chaos for the viscous van Wijngaarden-Eringen equation. Zbl 1360.35170
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina
1
2016
\(l_p\)-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003
Lizama, Carlos
32
2015
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011
Alvarez-Pardo, Edgardo; Lizama, Carlos
8
2015
On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215
Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis
7
2015
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188
Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo
5
2015
Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1346.45002
Alvarez, Edgardo; Lizama, Carlos
2
2015
Norm continuity for strongly continuous families of operators. Zbl 1461.47020
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
1
2015
Regularity of difference equations on Banach spaces. Zbl 1306.39001
Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos
17
2014
A connection between almost periodic functions defined on timescales and \(\mathbb{R}\). Zbl 1304.42015
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo
13
2014
Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006
Alvarez-Pardo, Edgardo; Lizama, Carlos
7
2014
On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033
Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis
3
2014
Stochastic Volterra equations under perturbations. Zbl 1314.60134
Karczewska, Anna; Lizama, Carlos
3
2014
Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084
Lizama, Carlos; Mesquita, Jaqueline G.
34
2013
Mild solutions for abstract fractional differential equations. Zbl 1276.34004
Lizama, Carlos; N&rsquo;Guérékata, Gaston M.
24
2013
Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
23
2013
Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286
Lizama, Carlos; Ponce, Rodrigo
20
2013
Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009
Lizama, Carlos; Mesquita, Jaqueline G.
20
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
11
2013
Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016
Lizama, Carlos; Poblete, Felipe
8
2013
Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092
Lizama, Carlos; Alvarez-Pardo, Edgardo
6
2013
Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012
Cuevas, Claudio; Lizama, Carlos
6
2013
Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175
Cuevas, Claudio; Lizama, Carlos; Soto, Herme
5
2013
Uniform stability of \((a,k)\)-regularized families. Zbl 1294.47062
Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe
4
2013
On a functional equation associated with \((a, k)\)-regularized resolvent families. Zbl 1250.39012
Lizama, Carlos; Poblete, Felipe
16
2012
On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046
Keyantuo, Valentin; Lizama, Carlos
14
2012
Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062
Lizama, Carlos; Pozo, Juan C.
10
2012
On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007
Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos
9
2012
Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027
Lizama, Carlos
6
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
3
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
An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048
Lizama, Carlos
30
2011
Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129
Lizama, Carlos; Ponce, Rodrigo
30
2011
A characterization of periodic solutions for time-fractional differential equations in \(UMD\) spaces and applications. Zbl 1221.34012
Keyantuo, Valentin; Lizama, Carlos
24
2011
Existence of asymptotically almost periodic solutions for damped wave equations. Zbl 1221.35255
de Andrade, Bruno; Lizama, Carlos
14
2011
Periodic solutions of fractional differential equations with delay. Zbl 1242.34139
Lizama, Carlos; Poblete, Verónica
13
2011
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1220.45012
Lizama, Carlos; Ponce, Rodrigo
11
2011
Regularity of solutions for a third order differential equation in Hilbert spaces. Zbl 1222.34067
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
6
2011
Almost automorphic solutions to abstract Volterra equations on the line. Zbl 1218.45012
Lizama, Carlos; Ponce, Rodrigo
3
2011
The fractional Fourier transform and quadratic field magnetic resonance imaging. Zbl 1228.44007
Irarrazaval, Pablo; Lizama, Carlos; Parot, Vicente; Sing-Long, Carlos; Tejos, Cristian
3
2011
Bounded mild solutions for semilinear integro differential equations in Banach spaces. Zbl 1209.45007
Lizama, Carlos; N&rsquo;Guérékata, Gaston M.
46
2010
\(S\)-asymptotically \(\omega \)-periodic solutions for semilinear Volterra equations. Zbl 1251.45007
Cuevas, Claudio; Lizama, Carlos
23
2010
Maximal regularity for flexible structural systems in Lebesgue spaces. Zbl 1191.74017
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
6
2010
Semilinear evolution equations on discrete time and maximal regularity. Zbl 1182.47054
Cuevas, Claudio; Lizama, Carlos
6
2010
Solutions to stochastic fractional oscillation equations. Zbl 1202.60099
Karczewska, Anna; Lizama, Carlos
5
2010
Fractional relaxation equations on Banach spaces. Zbl 1214.34047
Lizama, Carlos; Prado, Humberto
5
2010
A Landau-Kolmogorov inequality for generators of families of bounded operators. Zbl 1205.47018
Lizama, Carlos; Miana, Pedro J.
5
2010
Well-posedness of second order evolution equation on discrete time. Zbl 1209.39001
Castro, Airton; Cuevas, Claudio; Lizama, Carlos
2
2010
Bounded mild solutions of perturbed Volterra equations with infinite delay. Zbl 1202.45010
Calzadillas, Sebastián; Lizama, Carlos
2
2010
Compact almost automorphic solutions to integral equations with infinite delay. Zbl 1179.43004
Henríquez, Hernán R.; Lizama, Carlos
26
2009
Almost automorphic solutions to integral equations on the line. Zbl 1187.45005
Cuevas, Claudio; Lizama, Carlos
17
2009
Almost automorphic solutions of difference equations. Zbl 1177.39002
Araya, Daniela; Castro, Rodrigo; Lizama, Carlos
15
2009
On duality and spectral properties of \((a,k)\)-regularized resolvents. Zbl 1206.47037
Lizama, Carlos; Prado, Humberto
13
2009
Periodic solutions of integro-differential equations in vector-valued function spaces. Zbl 1158.45004
Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica
12
2009
...and 40 more Documents
all top 5

Cited by 710 Authors

109 Lizama, Carlos
36 Cuevas, Claudio
29 Bu, Shangquan
27 Ponce, Rodrigo F.
26 Goodrich, Christopher S.
26 Kostić, Marko
24 N’Guérékata, Gaston Mandata
21 Chang, Yong-Kui
20 Cai, Gang
16 Abadias, Luciano
16 Agarwal, Ravi P.
15 Miana, Pedro J.
14 Ahmad, Bashir
14 Nieto Roig, Juan Jose
14 Xia, Zhinan
13 Murillo-Arcila, Marina
12 Abbas, Syed
12 Fan, Zhenbin
12 Keyantuo, Valentin
11 de Andrade, Bruno
11 Li, Miao
10 Henríquez, Hernán R.
10 Liang, Jin
10 Piskarëv, S. I.
9 Alvarez, Edgardo
9 Li, Gang
9 Poblete, Verónica
9 Soto, Herme
8 Cao, Junfei
8 Dabas, Jaydev
8 Ntouyas, Sotiris K.
7 Al-saedi, Ahmed Eid Salem
7 Benchohra, Mouffak
7 Ezzinbi, Khalil
7 Wang, Jinrong
7 Xiao, Ti-Jun
6 Băleanu, Dumitru I.
6 Ding, Huisheng
6 Fu, Xianlong
6 Gautam, Ganga Ram
6 Mei, Zhandong
6 Mesquita, Jaqueline Godoy
6 Mophou, Gisèle Massengo
6 O’Regan, Donal
6 Pandey, Dwijendra Narain
6 Peng, Jigen
6 Wang, Rongnian
6 Warma, Mahamadi
6 Zhou, Yong
6 Zhu, Bo
5 Ashyralyev, Allaberen
5 Dahal, Rajendra
5 Dhama, Soniya
5 Li, Yongxiang
5 Pinto, Manuel
5 Prado, Humberto E.
5 Wang, Chao
4 Castro, Airton
4 Chen, Chuang
4 Conejero, José Alberto
4 Dantas, Filipe
4 Dassios, Ioannis K.
4 De Souza, Julio César
4 Díaz, Stiven
4 Huang, Zaitang
4 Karczewska, Anna
4 Litimein, Sara
4 Liu, Lishan
4 Lyons, Benjamin
4 Peris, Alfredo
4 Pierri, Michelle
4 Pilar Velasco, M.
4 Pozo, Juan Carlos
4 Rueda, Silvia
4 Said-Houari, Belkacem
4 Sánchez-Lajusticia, Luis
4 Shakhmurov, Veli B.
4 Shu, Xiaobao
4 Singh, Vikram
4 Taoudi, Mohamed Aziz
4 Vu Trong Luong
4 Zhang, Chuanyi
4 Zhou, Yong
3 Adivar, Murat
3 Alvarez-Pardo, Edgardo
3 Chadha, Alka
3 Chang, Jung-Chan
3 Chen, Pengyu
3 Dong, Qixiang
3 D’Ovidio, Mirko
3 Ghnimi, Saifeddine
3 Gil’, Michael Iosif
3 González-Camus, Jorge
3 Ibrahim, Rabha Waell
3 Jonnalagadda, Jagan M.
3 Kavitha, Velusamy
3 Koyuncuoğlu, Halis Can
3 Leal, Claudio
3 Li, Hongxu
3 Liu, Ru
...and 610 more Authors
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Cited in 180 Serials

50 Advances in Difference Equations
36 Journal of Mathematical Analysis and Applications
28 Fractional Calculus & Applied Analysis
25 Abstract and Applied Analysis
23 Applied Mathematics and Computation
21 Computers & Mathematics with Applications
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Semigroup Forum
16 Journal of Difference Equations and Applications
15 Applied Mathematics Letters
14 Journal of Evolution Equations
12 Mediterranean Journal of Mathematics
11 Applicable Analysis
11 Mathematical Methods in the Applied Sciences
11 Journal of Computational and Applied Mathematics
11 Boundary Value Problems
11 Journal of Function Spaces
10 Journal of Integral Equations and Applications
10 Journal of Fixed Point Theory and Applications
9 Journal of Differential Equations
9 Journal of Functional Analysis
9 Discrete Dynamics in Nature and Society
9 Fractional Differential Calculus
7 Israel Journal of Mathematics
7 Integral Equations and Operator Theory
7 Proceedings of the American Mathematical Society
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Chaos, Solitons and Fractals
6 Mathematische Nachrichten
6 Acta Mathematica Sinica. English Series
6 Banach Journal of Mathematical Analysis
6 Evolution Equations and Control Theory
5 Results in Mathematics
5 Discrete and Continuous Dynamical Systems
5 Mathematical Problems in Engineering
5 International Journal of Differential Equations
5 Journal of Applied Analysis and Computation
4 Numerical Functional Analysis and Optimization
4 Stochastic Analysis and Applications
4 Acta Applicandae Mathematicae
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 Cubo
4 Asian-European Journal of Mathematics
4 Science China. Mathematics
4 Open Mathematics
4 AIMS Mathematics
3 Bulletin of the Australian Mathematical Society
3 Studia Mathematica
3 Mathematische Zeitschrift
3 SIAM Journal on Numerical Analysis
3 International Journal of Mathematics
3 Indagationes Mathematicae. New Series
3 Topological Methods in Nonlinear Analysis
3 Journal of Mathematical Sciences (New York)
3 Electronic Journal of Differential Equations (EJDE)
3 Computational and Applied Mathematics
3 Filomat
3 Journal of Inverse and Ill-Posed Problems
3 Communications in Contemporary Mathematics
3 Differential Equations
3 Nonlinear Analysis. Modelling and Control
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics
3 Communications on Pure and Applied Analysis
3 Journal of Function Spaces and Applications
3 Annals of Functional Analysis
3 Nonautonomous Dynamical Systems
2 Rocky Mountain Journal of Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Collectanea Mathematica
2 Journal of Approximation Theory
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Quaestiones Mathematicae
2 SIAM Journal on Control and Optimization
2 Zeitschrift für Analysis und ihre Anwendungen
2 Chinese Annals of Mathematics. Series B
2 Neural Networks
2 Linear Algebra and its Applications
2 International Journal of Robust and Nonlinear Control
2 Turkish Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Integral Transforms and Special Functions
2 The Journal of Fourier Analysis and Applications
2 Nonlinear Dynamics
2 Chaos
2 Analysis (München)
2 Communications in Nonlinear Science and Numerical Simulation
2 Qualitative Theory of Dynamical Systems
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Nonlinear Analysis. Real World Applications
2 Stochastics and Dynamics
2 Complex Analysis and Operator Theory
2 Discrete and Continuous Dynamical Systems. Series S
2 Tbilisi Mathematical Journal
...and 80 more Serials
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Cited in 39 Fields

416 Ordinary differential equations (34-XX)
310 Operator theory (47-XX)
145 Integral equations (45-XX)
139 Partial differential equations (35-XX)
129 Real functions (26-XX)
86 Difference and functional equations (39-XX)
71 Abstract harmonic analysis (43-XX)
50 Systems theory; control (93-XX)
41 Probability theory and stochastic processes (60-XX)
41 Numerical analysis (65-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
24 Integral transforms, operational calculus (44-XX)
23 Biology and other natural sciences (92-XX)
21 Dynamical systems and ergodic theory (37-XX)
16 Functional analysis (46-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
12 Special functions (33-XX)
7 Mechanics of deformable solids (74-XX)
5 Fluid mechanics (76-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
3 Approximations and expansions (41-XX)
3 Statistics (62-XX)
2 Combinatorics (05-XX)
2 Measure and integration (28-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-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 General topology (54-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

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