Publications
86. Eduardo Hernandez, Michelle Pierri,
Jianhong Wu. $
C^{1+\alpha}$-strict solutions and wellposedness of
abstract differential equations
with state dependent delay. Accepted for publication in J.
Differential Equations.
85. Hernández, Eduardo; O'Regan, Donal, On implicit abstract neutral nonlinear
differential equations, Applied Mathematics $\&$ Optimization,
73 (2016) (3) 329-347.
81.
Eduardo Hernández. $C^{\al}$-Classical solutions for
an abstract non-autonomous integro-differential
equations. Proc. Amer. Math. Soc. 139 (2011),
4307-4318.
80. Eduardo Hernández, Donal
O'Regan On a new class of abstract impulsive
differential equations. Accepted for publication in Proc. Amer. Math.
Soc.
79. Hernández, Eduardo., Donal O'Regan.,
Balachandran, Krishnan, Comments
on some recent results on controllability
of abstract differential
problems. . To appear in J. Optim.
Theory Appl.
78. Hernández, Eduardo., Donal
O'Regan., Bená, Maria Aparecida. On a new
class of abstract integral
equations and applications, Appl. Math. Comput, .(219), (2012),
4, 2271-2277.
77.
Eduardo Hernández, Michelle Pierri, Maria Aparecida Bená. Asymptotically
almost periodic solutions for abstract neutral integro-differential
equations, Appl. Math. Comput. 217, (2011) 22, 8963-8972.
76. Eduardo Hernández, Donal O'Regan. Existence results
for a class of abstract
impulsive differential
equations. To appear in
Bull. Aust. Math. Soc.
75. Hernández, Eduardo., Donal
O'Regan.,
Balachandran, Krishnan. Existence results for abstract fractional differential equations
via resolvent operators. Indagationes
Mathematicae, (2012),
doi:10.1016/indag.2012.06.007.
74. Eduardo Hernández, Jair Silvério dos Santos, Katia A. G. Azevedo. On differential equations with nonlocal conditions involving the temporal derivative of the solution Indagationes Mathematicae. 23 (2012), 3, 401-422.
73. Eduardo Hernández, Michelle Pierri, Maria Aparecida Bená. Asymptotically
almost periodic solutions
for abstract neutral integro-differential
equations, Appl. Math.Comput
217,(2011)22, 8963-8972.
72. Hernández, Eduardo., Donal
O'Regan. Existence of solutions for
abstract neutral integro-differential equations with
unbounded delay. Czechoslovak
Mathematical Journal.
71. Hernández, Eduardo., Donal
O'Regan. Existence of solutions for
abstract non-autonomous neutral differential equations. Canadian
Mathematical Bulletin doi:10.4153/CMB-2011-111-1.
70.
Hernández, Eduardo., Donal O'Regan. $C^{\alpha}$-Hölder classical solutions for non-autonomous neutral
differential equations. Discrete Contin. Dyn. Syst. A.
Vol. 29, (2011) 1, 241-260.
69. Hernández, Eduardo., Dos Santos, José Paulo C., Henríquez, Hernán. Existence results for neutral integro-differential
equations with unbounded delay. Journal of Integral Equations and
Applications, Vol. 23 (2011) 2, 289-330.
68. Hernández, Eduardo., Henríquez,
Hernán. Existence of solutions of
second-order partial neutral functional differential equations with infinite
delay. Rocky Mountain j. Math
6, 41 2011, pp. 1-22.
67. Eduardo Hernández, Jair Silvério dos Santos, Katia A. G. Azevedo. On a class of
abstract differential equations with nonlocal conditions. Nonlinear Analysis 74, (2011) 2624-2634.
66. Eduardo Hernández, Michelle Pierri, Andréa Prokopczyk. On a class of abstract
neutral functional differential equations. Nonlinear Analysis
74 (2011), pp. 3633-3643.
65. Hernández, Eduardo. Global solutions for abstract
impulsive neutral differential equations. Math.
Comput.
Modelling 53 (2011), no. 1-2, 196-204.
64. Hernández, Eduardo., On a Class of Abstract
Functional Differential Equations Involving Almost Sectorial Operators. Differential Equations and Applications. 3 (2011),
1-10.
63. Hernández, Eduardo., O'Regan,
Donal., Balachandran, Krishnan. On
recent developments in the theory of abstract differential equations with
fractional derivatives. Nonlinear Analysis 73 (2010)
3462-3471.
62. Hernández, Eduardo., Balachandran, Krishnan.
Existence results for abstract degenerate neutral functional differential
equations. Bull. Aust. Math. Soc. 81 (2010) 329-342.
61. Hernández, Eduardo. Global solutions for abstract neutral
differential equations. Nonlinear Anal.
72, (2010) 5, 2210-2218.
60. Hernández, Eduardo., Tanaka, Sueli.
Global Solutions for Abstract Impulsive Differential
Equations. Nonlinear Anal. 72
(2010) 3-4, 1280-1290.
59. Hernández, Eduardo., Anguraj,
A. Arjunan, M. Existence results for a impulsive second order differential equation with
state-dependent delay. Dynam. Contin. Discrete Impuls.
Systems. Series A. 17 (2010) 2 287-301.
58. Hernández, Eduardo. Global Hölder
solutions for abstract neutral functional differential equations.
Differential Equations & Applications, 2 (2010), 1, 27-37.
57. Hernández, Eduardo., O'Regan,
Donal. Existence results for abstract partialneutral differential equations. Proc.
Amer. Math. Soc. 137 (2009), 10, 3309-3318.
56. Hernández, Eduardo., Henríquez,
Hernán. Existence results for a second order
differential equation with nonlocal conditions. Funkcialaj
Ekvacioj 52 (2009), 113-137.
55. Hernández, Eduardo., Henríquez,
Hernán. Approximate controllability of second order
distributed implicit functional systems. Nonlinear Anal.
70 (2009) 2, 1023-1039.
54. Hernández, Eduardo., Dos Santos, José Paulo C., Diagana, Toka. Existence of asymptotically almost automorphic solutions
to some abstract partial neutral integro-differential
equations. Nonlinear Analysis 71 (2009), no. 1-2, 248-257.
53. Hernández, Eduardo., Balachandran, K., Annapoorani., N. Existence results for a damped second
order abstract functional differential equation with impulses. Math. compu.
modelling. 50 (2009) 11-12, 1583-1594.
52. Hernández, Eduardo., Cuevas, Claudio., Rabello, Marco. The existence of
solutions
for impulsive neutral functional differential equations. Comput.
Math. Appl. 58 (2009) 4 744-757.
51. Hernández, Eduardo., Henríquez, Hernán., dos Santos, José Paulo C. Existence results for
abstract partial neutral integro-differential
equation with unbounded delay. Electron.
J. Qual. Theory Differ. Equ. (2009), No. 29, 23 pp.
50. Hernández, Eduardo. Existence results for a second
Order differential equations with nonlocal conditions. Electron.
J. Differential Equations. V. 2009(2009), No. 96, pp. 1-10.
49. Hernández, Eduardo., Tanaka, Sueli.
Global solutions for abstract functional differential
equations with nonlocal conditions. E. J. Qualitative Theory of
Diff. Equ., No.
50. (2009), pp. 1-8.
48. Hernández, Eduardo., O'Regan,
Donal. Controllability of Volterra-Fredholm type systems in Banach
spaces. J. Franklin Inst. 346 (2009), 2
95-101.
47. Hernández, Eduardo., Henríquez,
Hernán., McKibben, Mark A. Existence results for
abstract impulsive second-order neutral functional differential
equations. Nonlinear Anal. 70 (2009), no. 7, 2736-2751.
46. Hernández, Eduardo., Henríquez,
Hernán., McKibben, Mark A. Existence results for
partial neutral functional differential equations with state dependent delay. Math. Comput. Modelling.
49, (2009) 5-6, 1260-1267.
45. Hernández, Eduardo., Cuevas, Claudio. Pseudo almost periodic solutions for abstract partial functional
differential equations. Appl. Math. Lett.
22 (2009), pp. 534-538.
44. Hernández, Eduardo., Henríquez,
Hernán., McKibben, Mark A. Existence results
for second order partial neutral functional differential equations. Integral
Equations Operator Theory 62 (2008), no. 2,
191-217.
43. Hernández, Eduardo., Planas,
Gabriela. Asymptotic behavior of two-dimensional time-delayed
Navier-Stokes equations. Discrete
Contin. Dyn. Syst. 21 (2008) 4,
1245-1258.
42. Hernández, Eduardo., Henríquez,
Hernán., Diagana, Toka. Asymptotically almost periodic solutions for a second
order functional differential equation. Differential
Integral Equations. 21 (2008) 5-6, 575-600.
41. Hernández, Eduardo., Henríquez,
Hernán., Diagana, Toka. Almost automorphic mild solutions
to some partial neutral functional differential equations and applications.
Nonlinear Anal. 69 (2008) 1485-1493.
40. Hernández, Eduardo., Henríquez,
Hernan., Tanaka, Sueli. Global
solutions for impulsive abstract differential equations. Comput. Math. Appl. 56 (2008) 5,
1206-1215.
39. Hernández, Eduardo., Tanaka, Sueli.,
Sakthivel, Rathinasamy.
Existence results for impulsive evolution differential equations with
state-dependent delay. Electron. J.
Differential Equations. Vol. 2008(2008), No. 28 pp. 1-11.
38. Hernández, Eduardo., Henríquez,
Hernán. Existence results for second order partial
neutral functional differential equation. Dynam. Contin. Discrete Impuls.
Systems. Series A.
15 (2008), no. 5, 645-670.
37. Hernández, Eduardo., Henríquez,
Hernán. Pseudo almost periodic
solutions for non-autonomous neutral differential equations with unbounded
delay. Nonlinear Anal. Real World Appl. 9 (2008) 2, 430-437.
36.
Hernández, Eduardo., Henríquez,
Hernán., Rabello, Marco. Existence of solutions for a class of impulsive partial neutral
functional differential equations. J. Math. Anal.
Appl. 331 (2007) 2, 1135-1158.
35. Hernández, Eduardo., Diagana,
Toka. Existence and uniqueness of pseudo almost
periodic solutions to some abstract partial neutral functional differential
equations and applications. J. Math. Anal. Appl. 327 (2007) 2, 776-791.
34. Hernández, Eduardo. A comment on the paper: Controllability results for
functional semilinear differential inclusions in Fréchet spaces. [Nonlinear Anal. 61 (2005), no. 3, 405-423. ] and Controllability of
impulsive neutral functional differential inclusions with infinite delay.
[ Nonlinear Anal. 60 (2005), no. 8,
1533-1552.]}. Nonlinear Anal. 66 (2007)
10, 2243-2245.
33. Hernández, Eduardo., Agarwal, Ravi P., Diagana, Toka. Weighted
pseudo almost periodic solutions to some partial neutral functional
differential equations. J. Nonlinear Convex Anal. 8
(2007) 3, 397-415.
32. Hernández, Eduardo., Henríquez, Hernán., Dos Santos, José Paulo C. Almost periodic
solutions for neutral partial functional integro-differential
equations. Z. Anal. Anwend. 26 (2007) 3, 363-375.
31. Hernández, Eduardo., Diagana,
Toka., Rabello, Marco. Pseudo almost periodic solutions to some non-autonomous neutral
functional differential equations with unbounded delay. Math. Comput. Modelling. 45 (2007) 9-10,
1241-1252.
30. Hernández, Eduardo., McKibben, Mark. On state-dependent delay partial neutral functional differential equations.
Appl. Math. Comput. 186 (2007) 1, 294-301.
29.
Hernández, Eduardo., Dos Santos, José Paulo C.
Existence results for partial neutral integro-differential
equation with unbounded delay. Appl. Anal. 86 (2007) 2, 223-237.
28. Hernández, Eduardo., Arjunan,
Mallika., Anguraj, A.
Existence results for an impulsive neutral functional differential equation
with state-dependent delay. Appl. Anal. 86 (2007) 7, 861-872.
27. Hernandez, Eduardo., Keck, David N, McKibben, Mark
A. On a class of measure-dependent stochastic evolution
equations driven by fBm. J.
Appl. Math. Stoch. Anal. 2007, Art. ID 69747, 26 pp.
26. Hernández, Eduardo. Existence results for a partial second order functional
differential equation with impulses. Dyn. Contin. Discrete Impuls.
Syst. Ser. A Math. Anal.
14 (2007) 2, 229-250.
25. Hernández, Eduardo. Existence of solutions for a second
order abstract functional differential equation with state-dependent delay.
Electron. J. Differential Equations.
Vol. 2007(2007), No. 21 pp. 1-10.
24. Hernández, Eduardo., Diagana,
Toka. On pseudo almost periodic
solutions to some neutral functional-differential equations. Aust.
J. Math. Anal. Appl. 4 (2007) 2, Art. 12, pp. 1-7.
23. Hernández, Eduardo., Henríquez,
Hernán. Impulsive partial neutral
differential equations. Appl. Math. Lett.
19 (2006) 3, 215-222.
22. Hernández, Eduardo., Pierri,
M., Goncalves, Gabriel. Existence results for a impulsive abstract partial
differential equation with state-dependent delay. Comput.
Math. Appl. 52 (2006), 411-420.
21. Hernández, Eduardo., Henríquez,
Hernán. Existence of solutions of a
second order abstract functional cauchy problem with
nonlocal conditions. Ann. Polon. Math. 88 (2006), 141-159.
20. Hernández, Eduardo., Prokopczyk,
Andréa., Ladeira, Luiz. A note on
state dependent partial functional differential equations with unbounded delay.
Nonlinear Analysis, R.W.A. (2006) 4, 510-519.
19. Hernández, Eduardo., Dos Santos, José Paulo C.
Asymptotically almost periodic and almost periodic solutions for a class of
partial integro-differential equation. Electron. J. Differential Equations.
Vol. 2006(2006), No. 38, pp. 1-8.
18. Hernández, Eduardo., Pierri,
M., Táboas, Plácido. A
comment on the papers: `` A study on controllability of semi-linear integro-differential systems in Banach
spaces "Comput. Math.
Appl. 47 (2004), no. 4-5] and `` Controllability
of neutral functional integro-differential systems in
Banach spaces " [ Comput.
Math. Appl. 39 (2000),
no.1-2]". Comput. Math. Appl. 50
(2005) 8-9, 1291-1292.
17. Hernández, Eduardo., McKibben, Mark. Some comments
on: `` Existence of solutions of abstract nonlinear second-order neutral
functional integro-differential equations. [ Comput. Math.
Appl. 46 (2003), no. 8-9, 1313--1324; by K. Balachandran, D.
G. Park and S. M. Anthoni.] Comput.
Math. Appl. 50 (2005) 5-6, 655-669.
16. Hernández, Eduardo., Henríquez,
Hernán. Stabilization of linear distributed control
systems with unbounded delay. J. Math. Anal.
Appl. 307 (2005) 321-338.
15. Hernández, Eduardo., Pelicer,
Mauricio. Asymptotically almost periodic and almost periodic
solutions for partial neutral differential equations. Appl.
Math. Lett. 18 (2005) 11,
1265-1272.
14. Hernández, Eduardo., Pelicer,
Mauricio. Existence results for a second-order Existence results for a
second-order abstract Cauchy problem with nonlocal conditions. Electron. J. Differential Equations.
Vol. 2005 (2005), No. 73, pp. 1-17.
13. Hernández, Eduardo. Existence results for partial neutral integro-differential equations with unbounded delay. J.
Math. Anal. Appl. 292, (2004) 1, 194-210.
12. Hernández, Eduardo., Henríquez,
Hernán. Global solutions for a functional second
order abstract cauchy problem with nonlocal
conditions. Ann. Polon. Math.
83 (2004) 149-170.
11. Hernández, Eduardo., Dos Santos, José Paulo C., Pelicer,
Mauricio L. Asymptotically almost periodic and almost periodic solutions for a
class of evolution equation. Electron. J.
Differential Equations. Vol. 2004 (2004), No. 61, pp. 1-15.
10. Hernández, Eduardo. Existence of solutions to a second
order partial differential equation with nonlocal conditions. Electron. J. Differential Equations. Vol.
2003 (2003), No. 51, pp. 1-10.
9. Hernández, Eduardo. Existence results for partial neutral functional
differential equations with nonlocal conditions. Dynam.
Systems Appl.
11 (2002) 2, 241-252.
8. Hernández, Eduardo. A Massera
type criterion for a partial neutral functional differential equation. Electron. J. Differential Equations.
Vol. 2002 (2002), No. 40, pp. 1-17.
7. Hernández, Eduardo. A second-order impulsive Cauchy
problem. Internat.
J. Math. Math. Sci.
31 (2002) 8, 451-461.
6. Hernández, Eduardo. Regularity of solutions of partial
neutral functional differential equations with unbounded delay. Proyecciones. 21, (2002) 1, 65-95.
5. Hernández, Eduardo. Existence results for a class of semi-linear evolution
equations. Electron. J.
Differential Equations. Vol. 2001 (2001), No. 24, pp. 1-14.
4. Hernández, Eduardo., Henríquez,
Hernán. Existence results for partial neutral
functional differential equation with unbounded delay. J. Math. Anal. Appl. 221 (1998)
2, 452-475.
3. Hernández, Eduardo., Henríquez,
Hernán. Existence of periodic
solution of partial neutral functional differential equation with unbounded
delay. J. Math. Anal. Appl. 221 (1998) 2,
499-522.
2. Hernández, Eduardo., Henríquez,
Hernán. On the abstract cauchy problem in Fréchet space.
Proc. Amer. Math. Soc. 115 (1992) 2 353-360.
1. Hernández, Eduardo., Henríquez,
Hernán. An extension of Horn's
theorem for a space of locally integrable function.
Internat. J.
Math and Math. Sci. 15 (1992) 4 635-640.