PUBLICACIONES

 


Cuevas, Claudio; Lizama, Carlos; Semilinear evolution equations on discrete time and maximal regularity, Journal of Mathematical Analysis and Applications, to appear.

Lizama, Carlos; Prado, Humberto; Fractional relaxation equations on Banach spaces. Applied Math. Letters, to appear.

Keyantuo, Valentin; Lizama, Carlos; Miana, Pedro; Algebra homomorphisms defined via convoluted semigroups and cosine functions. Journal of Functional Analysis, to appear.

Henríquez, Hernán; Lizama, Carlos; Compact almost automorphic solutions to integral equations with infinite delay. Nonlinear Analysis, Theory Methods and Applications, to appear.

Cuevas, Claudio; Lizama, Carlos; Almost automorphic solutions to integral equations on the line. Semigroup Forum, to appear.

Karczewska, Anna; Lizama, Carlos; Solutions to stochastic fractional relaxation equations. Physica Scripta, to appear.

Castro, Airton; Cuevas, Claudio; Lizama, Carlos; Well posedness of second order evolution equation on discrete time. Journal of Difference Equations and Applications, to appear.

Cuevas, Claudio; Lizama, Carlos; Well posedness for a class of flexible structure in Holder spaces. Mathematical Problems in Engineering,
(2009), Article ID 358329, 13 pages, doi:10.1155/2009/358329.

Castro, Airton; Cuevas, Claudio; Lizama, Carlos; Maximal regularity of the discrete harmonic oscillator equation. Advances in Difference Equations, (2009), Article ID 290625, 14 pages, doi:10.1155/2009/290625.

Lizama, Carlos; Prado, Humberto; On duality and spectral properties of (a,k)-regularized resolvents. Proc. Royal Soc. Edim. (Series A), 139 (3), (2009), 505-517.

Araya, Daniela; Castro, Rodrigo; Lizama, Carlos; Almost automorphic solutions of difference equations. Advances in Difference Equations, (2009), Article ID 591380, 15 pages, doi:10.1155/2009/591380.

Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica; Periodic solutions of integro-differential equations in vector-valued function spaces. Journal of Differential Equations, 246(3) (2009), 1007-1037.

Karczewska, Anna; Lizama, Carlos; Strong solutions to stochastic Volterra equations. J. Math. Anal. Appl., 349 (2009), 301-310.

Araya, Daniela; Lizama, Carlos; Almost automorphic mild solutions to fractional differential equations. Nonlinear Analysis, Theory Methods and Applications., 69 (2008), 3692-3705.

Cuevas, Claudio; Lizama, Carlos; Almost automorphic solutions to a class of semilinear fractional differential equations. Applied Mathematical Letters, 21 (2008), 1315-1319.

Cuevas, Claudio; Lizama, Carlos; Semilinear Evolution Equations of Second Order via Maximal Regularity. Advances in Difference Equations, article Id 316207 (2008).

Lizama, Carlos; Poblete, Verónica; Maximal Regularity for Perturbed Integral Equations on Periodic Lebesgue Spaces, J. Math. Anal. Appl., 348 (2008), 775-786.


Keyantuo, Valentin; Lizama, Carlos; Mild Well-Posedness of Abstract Differential Equations. in: Functional Analysis and Evolution Equations, editors: Herbert Amann, Wolfgang Arendt, Matthias Hieber, Frank M. Neubrander, Serge Nicaise and Joachim von Below, Birkhauser-Basel, 371-387, 2008.

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


Cuevas, Claudio; Lizama, Carlos; Maximal Regularity of Discrete Second Order Cauchy Problems in Banach Spaces.Journal of Difference Equations and Applications, 13(12) (2007), 1129-1138

Karczewska, Anna; Lizama, Carlos; Regularity of solutions to stochastic Volterra equations with infinite delay. Proc. Amer. Math. Soc., 135 (2007), 531-540.


Karczewska, Anna; Lizama, Carlos; Stochastic Volterra equations driven by cylindrical Wiener process, Journal of Evolution Equations, 7(2007), 373-386.

Lizama, Carlos; Poblete, Verónica; On Multiplicative Perturbation of Integral Resolvent Families. J. Math. Anal. Appl., 327(2) (2007), 1335-1359.

Keyantuo, Valentin; Lizama, Carlos; Holder continuous solutions for integro-differential equations and maximal regularity. J. Differential Equations, 230 (2006),634-660.


Lizama, Carlos; Fourier multipliers and periodic solutions of delay equations in Banach spaces.J. Math. Anal. Appl., 324(2)(2006),921-93.

Lizama, Carlos; Prado, Humberto; Singular Perturbation for Volterra Equations of Convolution Type. Applied Math. Comp., 181(2006), 1624-1634.

Lizama, Carlos; Poblete, Verónica; Maximal regularity of delay equations in Banach spaces; Studia Mathematica, 175(1) (2006), 91-102.

Keyantuo, Valentin; Lizama, Carlos; Periodic solutions of second order differential equations in Banach spaces. Math. Z. 253 (2006), no. 3, 489--514.

Lizama, Carlos; Prado, Humberto; Singular perturbations of integro-differential equations. Appl. Math. Comput. 175 (2006), no. 2, 1582--1595.

Keyantuo, Valentin; Lizama, Carlos; Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Studia Math. 168 (2005), no. 1, 25--50.

Keyantuo, Valentin; Lizama, Carlos; Fourier multipliers and integro-differential equations in Banach spaces. J. London Math. Soc. (2) 69 (2004), no. 3, 737--750.

Lizama, Carlos; Vergara, Vicente; Uniform stability of resolvent families. Proc. Amer. Math. Soc. 132 (2004), no. 1, 175--181 (electronic).

Cioranescu, Ioana; Lizama, Carlos; On the inversion of the Laplace transform for resolvent families in UMD spaces. Arch. Math. (Basel) 81 (2003), no. 2, 182--192.

Lizama, Carlos; Sánchez, Justino; On perturbation of K-regularized resolvent families. Taiwanese J. Math. 7 (2003), no. 2, 217--227.

Lizama, Carlos; Prado, Humberto; Rates of approximation and ergodic limits of regularized operator families. J. Approx. Theory 122 (2003), no. 1, 42--61.

Lizama, Carlos; An introduction to spectral operator theory. (Spanish) Cubo Mat. Educ. 4 (2002), no. 1, 319--354.

Lizama, Carlos; On approximation and representation of K-regularized resolvent families. Integral Equations Operator Theory 41 (2001), no. 2, 223--229.

Lizama, Carlos; Regularized solutions for abstract Volterra equations. J. Math. Anal. Appl. 243 (2000), no. 2, 278--292.

Lizama, Carlos; Prado, Humberto; The vector-valued Stieltjes transform. Quart. J. Math. Oxford Ser. (2) 50 (1999), no. 198, 197--206.

Lizama, Carlos A characterization of uniform continuity for Volterra equations in Hilbert spaces. Proc. Amer. Math. Soc. 126 (1998), no. 12, 3581--3587.

Lizama, Carlos; A representation formula for strongly continuous resolvent families. J. Integral Equations Appl. 9 (1997), no. 4, 321--327.

Cioranescu, Ioana; Lizama, Carlos; Some applications of Fejér's theorem to operator cosine functions in Banach spaces. Proc. Amer. Math. Soc. 125 (1997), no. 8, 2353--2362.

Lizama, Carlos; Uniform continuity and compactness for resolvent families of operators. Acta Appl. Math. 38 (1995), no. 2, 131--138.

Cioranescu, Ioana; Lizama, Carlos; The spectral mapping theorem for integrated cosine functions. Partial differential equations (Han-sur-Lesse, 1993), 82--90, Math. Res., 82, Akademie-Verlag, Berlin, 1994.

Lizama, Carlos; On the convergence and approximation of integrated semigroups. J. Math. Anal. Appl. 181 (1994), no. 1, 89--103.

Lizama, Carlos; A mean ergodic theorem for resolvent operators. Semigroup Forum 47 (1993), no. 2, 227--230.

Lizama, Carlos; On Volterra equations associated with a linear operator. Proc. Amer. Math. Soc. 118 (1993), no. 4, 1159--1166.

Lizama Y., Carlos; A note on the compactness of resolvent families of operators. (Spanish) Proyecciones 10 (1991), no. 17, 35--41.

Lizama, Carlos; On positive strongly continuous cosine functions. Math. Balkanica (N.S.) 4 (1990), no. 1, 43--49.

Lizama, Carlos; A characterization of periodic resolvent operators. Results Math. 18 (1990), no. 1-2, 93--105.

Lizama, C.; On an extension of the Trotter-Kato theorem for resolvent families of operators. J. Integral Equations Appl. 2 (1990), no. 2, 269--280.

Lizama, Carlos; Mild almost periodic solutions of abstract differential equations. J. Math. Anal. Appl. 143 (1989), no. 2, 560--571.

Lizama, Carlos; On the spectrum of cosine operator functions. Integral Equations Operator Theory 12 (1989), no. 5, 713--724.

Cioranescu, Ioana; Lizama, Carlos; Spectral properties of cosine operator functions. Aequationes Math. 36 (1988), no. 1, 80--98.