DCM FFCLRP USP
Eduardo Alex Hernandez Morales

Titulação: Prof Titular



Apresentacao:

Possui graduação em Licenciatura em Matemática - Universidad de Santiago de Chile (1990), mestrado em Magister em matemática - Universidad de Santiago de Chile (1994) e doutorado em Matemática pela Universidade Estadual de Campinas (1998). Tem experiência na área de Matemática, com ênfase em Equações Diferenciais Funcionais, atuando principalmente nos seguintes temas: neutral equations, abstract cauchy problem, semigroup of linear operators, functional differential equations e cosine function of linear operators.


Telefones :

+55 (16) 3315-0568 - (Sala docente )


E-mail: lalohm at ffclrp.usp.br


Área: Matemática


Área de Pesquisa:

O docente atua principalmente nos seguintes temas:Fluid mechanics, Navier-Stokes equations.


Grupo de pesquisa:

Grupo de Equações Diferenciais Abstratas


Currículo Lattes

Artigos completos publicados em periódicos

HERNÁNDEZ, EDUARDO ; O'REGAN, DONAL ; PONCE, RODRIGO ; On <mml:math altimg=&quot;si1.gif&quot; overflow=&quot;scroll&quot; xmlns:xocs=&quot;http://www.elsevier.com/xml/xocs/dtd&quot; xmlns:xs=&quot;http://www.w3.org/2001/XMLSchema&quot; xmlns:xsi=&quot;http://www.w3.org/2001/XMLSchema-instance&quot; xmlns=&quot;http://www.elsevier.com/xml/ja/dtd&quot; xmlns:ja=&quot;http://www.elsevier.com/xml/ja/dtd&quot; xmlns:mml=&quot;http://www.w3.org/1998/Mat. Journal of Mathematical Analysis and Applications (Print), v. 420, p. 1814-1831, 2014

HERNÁNDEZ, EDUARDO ; O'REGAN, DONAL ; BALACHANDRAN, KRISHNAN ; Comments on Some Recent Results on Controllability of Abstract Differential Problems. Journal of Optimization Theory and Applications (Dordrecht. Online), v. 159, p. 292-295, 2013

HERNÁNDEZ, EDUARDO ; O'REGAN, DONAL ; BALACHANDRAN, KRISHNAN ; Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Indagationes Mathematicae (Print), v. 24, p. 68-82, 2013

HERNÁNDEZ, EDUARDO ; O'REGAN, DONAL ; BENÁ, MARIA APARECIDA ; On a new class of abstract integral equations and applications. Applied Mathematics and Computation, v. 219, p. 2271-2277, 2012

HERNÁNDEZ, EDUARDO ; O'REGAN, DONAL ; EXISTENCE RESULTS FOR A CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS. Bulletin of the Australian Mathematical Society, v. 87, p. 366-385, 2013

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; AZEVEDO, K. A. G. ; SANTOS, J. S. ; On differential equations with nonlocal conditions involving the temporal derivative of the solution.. Indagationes Mathematicae (Print), v. 23, p. 401-422, 2012

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; On a new class of abstract impulsive differential equations.. Proceedings of the American Mathematical Society, v. 141, p. 1641-1649, 2013

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; On a new class of abstract neutral differential equations.. Journal of Functional Analysis, v. 12, p. 3457-3481, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Tanaka, Sueli ; Global solutions for abstract neutral differential equations.. Nonlinear Analysis, v. 72, p. 1280-1290, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Global solutions for abstractimpulsive neutral differential equations. Mathematical and Computer Modelling, v. 53, p. 196-204, 2011

BENA, M. A. ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Pierri, Michelle ; Asymptotically almost periodic solutions for abstract neutral integro-differential equations. Applied Mathematics and Computation, v. 217, p. 8963-8972, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; $C^{\al}$-Classical solutions for an abstract non-autonomous integro-differential equations.. Proceedings of the American Mathematical Society, v. 139, p. 4307-4318, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; ANGURAJ, A. ; ARJUNAN, M. ; Existence resultsfor a impulsive second order differential equation with state-dependent delay. Dynamics of Continuous, Discrete and Impulsive System, v. 17, p. 287-301, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; BALACHANDRAN, K. ; O'Regan, Donal. ; On recent developments in the theory of abstract differential equations with fractional derivatives.. Nonlinear Analysis, v. 73, p. 3462-3471, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; On a Class of Abstract Functional Differential Equations Involving Almost Sectorial Operators.. Differential Equations & Applications, v. 1, p. 1-10, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Pierri, Michelle ; PROKOPCZYK, Andréa ; On a class of abstract neutral functional differential equations.. Nonlinear Analysis, v. 74, p. 3633-3643, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; Existence of solutions for abstract neutral integro-differential equations with unbounded delay.. Czechoslovak Mathematical Journal (Prague, Print), v. 217, p. 8963-8972, 2011

SANTOS, J. S. ; AZEVEDO, K. A. G. ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; On a class of abstract differential equations with nonlocal conditions.. Nonlinear Analysis, v. 74, p. 2624-2634, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Global Hölder solutions for abstract neutral functional differential equations. Differential Equations & Applications, v. 2, p. 27-37, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; Existence of solutions for abstract non-autonomous neutral differential equations. Canadian Mathematical Bulletin, v. 55, p. 736-751, 2012

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; C^{\alpha}-Hölder classical solutions for non-autonomous neutral differential equations. Discrete and Continuous Dynamical Systems. Series A, v. 29, p. 241-260, 2011

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Tanaka, S. M. ; Global Solutions for Abstract Impulsive Differential Equations.. Nonlinear Analysis, v. 72, p. 1280-1290, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for a second Order differential equations with nonlocal conditions.. Electronic Journal of Differential Equations, v. 2009, p. 1/96-10, 2009

Claudio Cuevas ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; RABELLO, Marcos ; The existence of solutions for impulsive neutral functional differential equations. Computers & Mathematics with Applications, v. 58, p. 744-757, 2009

BALACHANDRAN, K. ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Annapoorani, N. ; Existence results for a damped second order abstract functional differential equation with impulses. Mathematical and Computer Modelling, v. 50, p. 1583-1594, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Global solutions for abstract neutral differential equations. Nonlinear Analysis, v. 72, p. 2210-2210, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; dos Santos, José P. C. ; Henríquez, Hernán R. ; Existence results for neutral integro-differential equations with unbounded delay. The Journal of Integral Equations and Applications, v. 23, p. 289-330, 2011

BALACHANDRAN, K. ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for abstract degenerate neutral functional differential equations. Bulletin of the Australian Mathematical Society, v. 81, p. 329-342, 2010

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; SANTOS, J. P. C. ; HENRÍQUEZ, Hernán ; Existence results for abstract partial neutral Integro-differential equation. Electronic Journal on the Qualitative Theory of Differential Equations, v. 2009, p. 29-, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Existence of solutions of second-order partial neutral functional differential equations with infinite delay.. The Rocky Mountain Journal of Mathematics, v. 6, p. 1-22, 2011

O'Regan, Donal. ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for abstract partial neutral differential equations. Proceedings of the American Mathematical Society, v. 137, p. 3309-3318, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; McKibben, Mark ; Existence results for second order partial neutral functional differential equations. Integral Equations and Operator Theory, v. 62, p. 191-217, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; DIAGANA, Toka ; Asymptotically almost periodic solutions for a second order functional differential equation. Differential and Integral Equations, v. 21, p. 575-600, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; O'Regan, Donal. ; Controllability of Volterra-Fredholm type systems in Banach spaces. Journal of the Franklin Institute, v. 346, p. 95-101, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; McKibben, Mark ; Existence results for abstract impulsive second order neutral functional differential equations. Nonlinear Analysis, v. 70, p. 2736-2751, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; DIAGANA, Toka ; SANTOS, J. P. C. ; Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations. Nonlinear Analysis, v. 71, p. 248-257, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Approximate controllability of second order distributed implicit functional systems. Nonlinear Analysis. Theory, Methods and Applications, v. 70, p. 1023-1039, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Tanaka, Sueli ; Global solutions for impulsive abstract differential equations. Computers & Mathematics with Applications, v. 56, p. 1206-1215., 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Claudio Cuevas ; Pseudo almost periodic solutions for abstract partial functional differential equations. Applied Mathematics Letters, v. 22, p. 534-538, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; MCKIBBEN, Mark ; Existence results for partial neutral functional differential equations with state dependent delay. Mathematical and Computer Modelling, v. 49, p. 1260-1267, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Tanaka, Sueli ; Sakthivel, Rathinasamy ; Existence results for impulsive evolution differential equations with state-dependent delay.. Electronic Journal of Differential Equations, v. 2008, p. 1-11, 2008

HENRÍQUEZ, Hernán ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for a second order differential equation with nonlocal conditions. Funkcialaj Ekvacioj, v. 52, p. 113-137, 2009

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence of solutions for a second order abstract functional differential equation with state-dependent delay.. Electronic Journal of Differential Equations, v. 2007, p. 1/21-10, 2007

HENRÍQUEZ, Hernán ; Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; SANTOS, J. P. C. ; Almost periodic solutions for neutral partial functional integrodifferential equations. Zeitschrift für Analysis und Ihre Anwendungen, v. 26, p. 363-375, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; DIAGANA, Toka ; HENRÍQUEZ, Hernán ; Almost automorphic mild solutions to some partial neutral functional-differential equations and applications. Nonlinear Analysis. Theory, Methods and Applications, v. 69, p. 1485-1493, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; DIAGANA, Toka ; Existence and uiqueness of pseudo almost periodic solutions to some abstract partial neutral functional differential equations and applications. Journal of Mathematical Analysis and Applications, v. 327, p. 776-791, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; SANTOS, J. P. C. ; Existence results for partial neutral integro-differential equation with unbounded delay.. Applicable Analysis, v. 86, p. 223-237, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Planas, Gabriela. ; Asymptotic behaviour of two-dimensional time-delayed Navier-Stokes equations.. Discrete and Continuous Dynamical Systems. Series A, v. 21, p. 1245-1258, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Pseudo almost periodic solutions for non-autonomou neutral differential equations with unbounded delay. Nonlinear Analysis. Real World Applications, v. 9, p. 430-437, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; ARJUNAN, M. ; ANGURAJ, A. ; Existence results for an impulsive neutral functional differential equation with state-dependent delay. Applicable Analysis, v. 86, p. 861-872, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; MCKIBBEN, Mark ; KECK, D. N. ; On a class of measure dependent stochastic evolution equations driven by fBm. Stochastic Analysis and Applications, v. 2007, p. 26-, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; DIAGANA, Toka ; AGARWAL, R. P. ; Weighted pseudo almost periodic solutions to some partial neutral functional differential equations. Journal of Nonlinear and Convex Analysis, v. 8, p. 397-415, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Existence results for second order partial neutral functional differential equation. Dynamics of Continuous, Discrete and Impulsive System, v. 15, p. 645-670, 2008

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; DIAGANA, Toka ; On pseudo almost periodic solutions to some neutral functional-differential equations.. The Australian Journal of Mathematical Analysis and Applications, v. 4, p. 1-17, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; MIRANDA, Hernan Henriquez ; RABELLO, Marcos ; Existence of solutions for a class of impulsive partial neutral functional differential equations.. Journal of Mathematical Analysis and Applications, Estados Unidos, v. 331, p. 1135-1158, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; McKibben, Mark ; On State-dependent delay partial neutral functional differential equations. Applied Mathematics and Computation, Estados Unidos, v. 186, p. 294-301, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; RABELLO, Marcos ; DIAGANA, Toka ; Pseudo almost periodic solutions to some pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay.. Mathematical and Computer Modelling, Estados Unidos, v. 45, p. 1241-1252, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions. Annales Polonici Mathematici, Polônia, v. 88, p. 141-159, 2006

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Pierri, Michelle ; GONÇALVES, Gabriel ; Existence results for an impulsive abstract partial differential equation with state dependent delay. Computers & Mathematics with Applications, Estados Unidos, v. 52, p. 411-420, 2006

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; A comment on the papers: Controllability results for functional semilinear differential inclusions in Fréchet spaces [Nonlinear Anal. 61 (3) (2005) 405 423] and Controllability of impulsive neutral functional differential inclusions with infinite delay [Nonlinear Anal. 60 (8) (2005) 1533 1552]. Nonlinear Analysis. Theory, Methods and Applications, Estados Unidos, v. 66, p. 2243-2245, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; SANTOS., Jose Carvalho dos ; Asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equation.. Electronic Journal of Differential Equations, Estados unidos, v. 2006, p. 1-8, 2006

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; MCKIBBEN, Mark ; Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations, Computers and Mathematics with Applications 46 (2003), no. 8-9, by Balachandran, K., Park, D. G., and Anthoni, S. Marshal.. Computers & Mathematics with Applications, Holanda, v. 50, p. 655-669, 2005

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Pierri, Michelle ; TABOAS, P. ; A comment on the papers: `` A study on controllability of semilinear integrodifferential systems in Banach spaces [ Comput. Math. Appl. 47 (2004), no. 4-5] and `` Controllability of neutral functional integrodifferential systems in Banach spaces [Comput. Math. Appl. 39 (2000), no. 1-2]. To appear in Comput. Math.Appl.. Computers & Mathematics with Applications, The Netherlands., v. 50, p. 1291-1292, 2005

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; PELICER, Mauricio ; Existence results for a second-order abstract Cauchy problem with nonlocal conditions.. Electronic Journal of Differential Equations, Estados Unidos, v. 2005, p. 1-17, 2005

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; LADEIRA, Luiz Augusto ; PROKOPCZYK, Andréa C. ; A note on state dependent partial functional differential equations with unbounded delay.. Nonlinear Analysis Real World And Applications, v. 7, p. 510-519, 2006

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; PELICER, Mauricio ; Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations.. Applied Mathematics Letters, Estados Unidos, v. 18, p. 1265-1272, 2005

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; HENRÍQUEZ, Hernán ; Impulsive partial neutral differential equations.. Applied Mathematics Letters, Estados Unidos, v. 19, p. 215-222, 2006

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for a partial second order functional differential equation with impulses.. Dynamics of Continuous, Discrete and Impulsive System, Canada, v. 14, p. 229-250, 2007

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; PELICER, Mauricio ; SANTOS, Jose dos ; Asymptotically almost periodic and almost periodic solutions for a class of evolution equation.. Electronic Journal of Differential Equations, Estados Unidos, v. 2004, p. 1-15, 2004

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; MIRANDA, Hernan Henriquez ; Stabilization of Linear Distributed Control Systems with Unbounded Delay. Journal of Mathematical Analysis and Applications, Estados Unidos, v. 307, p. 321-338, 2005

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results of partial neutral integrodifferential equations with unbounded delay.. Journal of Mathematical Analysis and Applications, United States, v. 292, p. 194-210, 2004

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; MIRANDA, Hernan Henriquez ; Global solutions for a functional second order differential equations with nonlocal conditions.. Annales Polonici Mathematici, polonia, v. 83, p. 149-170, 2004

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence of solutions to a second order partial differential equation with nonlocal conditions. Electronic Journal of Differential Equations, Estados Unidos, v. 2003, p. 1-10, 2003

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; A Massera type criterion for a partial neutral functional differential equation. Electronic Journal of Differential Equations, Estados Unidos, v. 2002, p. 1-17, 2002

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for partial neutral functional differential equations with nonlocal conditions.. Dynamic Systems and Applications, USA, v. 11, p. 241-252, 2002

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; A second order impulsive Cauchy problem. International Journal of Mathematics and Mathematical Sciences, USA, v. 31, p. 451-561, 2002

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Regularity of solutions of partial neutral functional differential equations with unbounded delay. Proyecciones (Antofagasta), Chile, v. 21, p. 65-95, 2002

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; Existence results for a class of semi-linear evolution equations.. Electronic Journal of Differential Equations, United States, v. 2001, p. 1-24, 2001

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; M, Hernán Henriquez ; An extension of Horn's theorem for a space of locally integrable function.. International Journal of Mathematics and Mathematical Sciences, Estados Unidos, v. 15, p. 635-640, 1992

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; M, Hernán Henriquez ; On the abstract Cauchy problem in Fréchet space.. Proceedings of the American Mathematical Society, Estados Unidos, v. 2, p. 353-360, 1992

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; M, Hernán Henriquez ; Existence of periodic solution of partial neutral functional differential equation with unbounded delay.. Journal of Mathematical Analysis and Applications (Print), Estados Unidos, v. 2, p. 499-522, 1998

Hernandez, Eduardo;HERNÁNDEZ, EDUARDO ; M, Hernán Henriquez ; Eistence results for partial neutral functional differential equation with unbounded delay. Journal of Mathematical Analysis and Applications, Estados unidos, v. 2, p. 452-475, 1998



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