ARTÍCULOS
CIENTÍFICOS:
1. H. Leiva y D.
Bárcenas (1987) “Una caracterización de semigrupos
fuertemente continuos en (x>0), con valores en un espacio de Banach Dual con la propiedad de Radon-Nikodym”.
Notas de Matemáticas Nº 83, U.L.A., Mérida.
2. H. Leiva y D. Bárcenas (1989) “Controllability with Restrictions in
Banach Spaces”. Acta Científica Venezolana; Vol. 40.
3. H. Leiva y D. Bárcenas
(1991) “Quasi-Semigroups, Evolution
Equation and Controllability”.
Notas de Matemática Nº 109. U.L.A., Mérida.
4. H. Leiva y D. Bárcenas (1991) “On the Optimal Control in Banach Spaces”. Notas de Matemática Nº 110. U.L.A., Mérida.
5. H. Leiva y D. Bárcenas (1991) “Extension of the Range Condition for
the Controllability of Non-Autonomous Linear Sistems”.
Notas de Matemática Nº 111, U.L.A., Mérida.
6. H. Leiva and B. Lehman
(1991) “Algebraic Rank Test for Controllability of Non-Autonomous Linear Sistems”. CDSNS92.
7. H. Leiva and B. Lehman
(1993) “Approximate Controllability of Special Classes of Bounded
Abstract Nonautonomous Evolution
Equations”. 32 nd IEEE C.D.C.
8. H. Leiva and S.N. Chow
(1994) “Dynamical Spectrum for Time Dependent Linear Systems in Banach Spaces”, Japan Journal of Industrial
and Applied Mathematics (JJIAM), Vol. 11, Nº. 3.
9. H. Leiva and S.N. Chow “Existence and Roughness of the
exponential Dichotomy for Skew-Product Semiflow
in Banach Spaces”, Journal of Differential
Equations, Vol. 120, Nº. 2. August 10, 1995.
10. H. Leiva and S.N. Chow
“Two Definitions of Exponential Dichotomy for Skew-Product Semiflow in Banach Spaces”,
Proceeding of the American Mathematical Society, Vol. 124, Nº 4, April,
1996.
11. H. Leiva and S.N. Chow
(1995) “Dynamical Spectrum for Skew Product Flow in Banach
Spaces”. World Scientific Publishing Company. Vol,
Boundary Value Problem for Functional Differential Equation. 1994.
12. H. Leiva “Stability of the Periodic Orbit for a System
of Parabolic Equations” Journal of Applicable Analysis, Vol. 60, pp.
277-300 (1996).
13. H. Leiva and S.N. Chow (1995) “Unbounded Perturbation of
the Exponential Dichotomy for Evolution Equations”. Journal of
Differential Equations, Vol. 129, Nº. 2. August 10, 1996.
14. H. Leiva “General
Perturbation of the exponential Dichotomy for evolution Equations”. Resenhas IME_USP 1997, Vol. 3, Nº 1, 1-12.
15. H. Leiva “Exponential
Dichotomy for a Non_Autonomous System of
Parabolic Equations”. Journal of Dynamics and Dynamics and Differential
Equations, Vol. 10, Nº.3.1998.
16. H.Leiva. “Existence Bounded Solutions of a Second order Sistem with Dissipation” Journal of Math. Anal and
Applications 237, 288-302 (1999).
17.
H. Leiva. “Rank Condition for the Controllability of a
Non- Autonomous System” INT.J.CONTROL, Vol. 72, Nº.10, 929-931 (1999).
18.
L. Garcia and H. Leiva. “Center Manifolds and Exponentially Bounded
Solutions of Forced Newtonian System with Dissipation” E. Journal
Differential Equations. CONF. 05, 2000, PP. 69-77.
19.
H. Leiva and I. Sequera “Exponential Bounds and Stability of a Non-Linear
Parabolic Equations” Acta Científica
Venezolana, Vol. 52, Nº 2, 2000.
20.
H. Leiva. “Dynamical Spectrum for Scalar Parabolic
Equations” Applicable Analysis. Vol. 76 (1-2), pp. 9-28, 2000.
21.
H. Leiva. “Bounded Solutions for of a Second order
Evolution Equations and Applications” Journal of Math. Physics. Vol. 41, N°11, 2000.
22.
H. Leiva and D. Bárcenas
“Characterization of Extremal Controls for
Infinite Dimensional Time-Varying Systems”. SIAM. J. Control and Optim. Vol. 40, N° 2, pp. 333-347, 2001.
23.
H. Leiva and H. Rodriguez “Relative Asymptotic
Equivalence of Evolution Equations”. Non linear
Analysis; Vol. 47. 2001, pp. 4579-4590.
24. H. Leiva and H. “Unbounded Perturbation of the
Controllability for Evolution Equation” J. Math. Analysis and Appl.; Vol.
280. 2003, pp. 1-8.
25.
H. Leiva and I. Sequera “Existence and Stability of Bounded Solutions
for a System of Parabolic Equations” J. Math. Analysis and Appl., Vol.
279 2003; pp. 495-507.
26.
H. Leiva “ A Necessary
Algebraic Condition for Controllability and Observability
of Linear Time-Varying Sistems” IEE TRANSACTION
ON AUTOMATIC CONTROL; Vol. 48, N° 12. 2003.
27.
H. Leiva Z. Sivoli “Existence
and Stability of Bounded Solutions for a for Nonlinear Time-Varying Thermoelastic Plate Equation” J. Math. Analysis and
Appl. Vol. 285. 2003; pp. 191-211.
28.
H. Leiva “A Necessary and Sufficient Algebraic Condition
for the Controllability of a Thermoelastic
Plate Equation” IMA Journal of Control and Information; Vol. 0. 2003, pp.
1-18.
29.
H. Leiva “A Lemma on Co
Semigroup and Applications” Quastiones
Mathematics; Vol. 26. 2003, pp. 1-19.
30.
A. Acosta and H. Leiva
“Exponentially Bounded Solutions of a System of Parabolic
Equation” Applicable Analysis; Vol. 83. 2004, pp. 669-709.
31. H. Leiva “Exact Controllability of the Suspension Bridge
Model Proposed by Lazer and McKenna” J.
Math. Analysis and Appl. 309(2005)
404-419.
32.
D. Bárcenas, H. Leiva and Z. Sívoli “A broad class of evolution Equations are
approximately controllable but never exactly controllable” IMA Journal of Mathematical Control
and Information; Vol. 0. 2005, pp. 1-11.
33.
H. Leiva “Exact controllability of a non-linear
generalized damped wave equation: Application to the Sine-Gordon
equation”. E. Journal of Diff. Eqns., Conference; Vol. 13, 2005, pp.
75-88.
34.
H. Leiva “Controllability of a System of Parabolic
equation with non-diagonal diffusion matrix”. IMA Journal of Mathematical
Control and Information; Vol. 32, 2005, pp. 187-199.
35.
D. Bárcenas, A. Tineo, and H. Leiva “Quasi Semigroups and
Evolution Equations”.
International Journal of Evolution Equations, Vol. 3. 2005,
pp.17-36.
36.
D. Bárcenas, W. Urbina and H. Leiva “Controllabity of the
Onstein Uhlenbeck
Equation” IMA, J. Math. Control Inform. 23. No. 1,
(2006), 1-9.
37.
D. Bárcenas, A. Tineo, and H. Leiva “The Dual Quasisemigroup
and controllability of evolution equations “. Journal Mathematical
Analysis and Applications, 2006, pp.1-12.
38.
H. Leiva and E. Iturriaga “A necessary
and sufficient condition for the controllability of linear systems in
Hilbert spaces and applications “.IMA Journal of Mathematical Control and
Information; doi: 10.1093/imamci/dnm017,
pp. 1-12 ( 2007).
39.
D. Barcenas, H. Leiva, Y.
Quintana and W. Urbina, Controllability of Laguerre and Jacobi Equations. International Journal of Control, Vol.
80, No. 8, August 2007, 1307-1315.
40.
N. Adames, H. Leiva and J.
Sánchez “Approximate Controllability of the B.B.M Equation” Divulgaciones Matemáticas,
Vol. 15 No. 1(2007), 1-9.
41. A. Carrasco
and H. Leiva, ``Variation of Constant Formula
for
Fuctional Partial
Parabolic Equations'' E. Journal of Differential Equations,
Vol.2007 (2007), No.130, pp.1-20.
42.
A. Carrasco and H. Leiva “A Negative Result on the Controllability of
Damped Wave Equation with Delay”, International Mathematical Forum, Vol. 3, No 9-12, 2008.
43. H. Leiva and Jahnett Uzcátegui “Exact Controllability of Nonlinear Differnce Equations”, Journal of Difference Equation
and Applications, Vol. 14, No. 7,
July, 2008, 671-679.
44.
H. Leiva and Jahnett Uzcátegui
“Controllability of Linear Difference Equations” IMA Journal of Mathematical
Control and
Information PP. 1-18, doi:10.1093/imamci/dnm027..
45.
Hugo Leiva “Exact Controllability of Semilinear
Evolution Equations in Hilbert Spaces and Applications”, Int. J. Systems, Control and
Communications, Vol. 1, No. 1,
2008.
46.
Hugo Leiva “Exact Controllability of nD
Nolinear Damped Wave Equation”, to appear in Revista de Ingenieria de la ULA, 2008.
47.
T. Lara and H. Leiva “On the Controllability of a Type of Large
Scale CNN with Delays”, Divulgaciones Matemáticas Vol.
16 No 1( 2008), pp. 29-
48.
A. Acosta, H. Leiva and J. Rebaza “A
Necessary and Sufficient Algebraic Condition for the Controllability of a
Strongly Damped Wave Equation”, Mathematical Sciences Vol.2, No. 2
(2008) 223-242
49.
A. Carrasco and H. Leiva “Approximate Controllability of a System of
Parabolic Equations with Delay”, J. Math. Anal. Appl,
345(2008) 845-853.
50. Hugo Leiva and Z. Sivoli “Controlabilidad
Exacta para una Ecuación de Onda Integro-Diferencial con Retardo” , Revista Ciencia e IIngenieria
. Vol. 30, N0. 2, pp. 143-148,
Abril-Julio, 2009.
51. H. Larez, H. Leiva
and J. Uzcátegui (2011) “Controllability of Block Diagonal
Systems and Applications”, Int. J. Systems, Control and Communications,
Vol. 3, N0. 1, pp. 64-8.
52.
H. Leiva and Y. Quintana “Interior Controllability of a
Broad Class of Reaction Diffution Equations”
, Mathematical Problems in
Engineering, Vol. 2009, Article ID 708516, 8 pages, doi:
10.1135/2009/708516.
53. A. Carrasco and H. Leiva
“A Lemma on Evolution Operators and Applications”, Advances and
Applications in Mathematical Sciences, Vol. 9, Issue 1, 2011, pp. 1-21.
54.
A. Acosta, P. Garcia
and H. Leiva “Synchronization
Conditions for Master-slave Reaction Diffusion Systems “, Euro physics Letters. 2009 EPL 88 60006 (4pp)
doi: 10.1209/0295-5075/88/60006
55. J. Appell, H. Leiva and N. Merentes “Nonlinear Spectral Theory and
Controllability of Semilinear Evolution
Equations”, Int. Journal of Evolution Equtions,
Vol. 4, Number 2, pp. 213-225 (2010).
56.
H. Larez and H. Leiva “Interior
controllability of a $2 \times 2$ Reaction-Diffusion system”, Boundary
Value Problems, Vol. 2009, Article ID 560407.
57.
W. Aziz, H. Leiva, N. Merentes
and J. L. Sáchez “Functions of two Variables
with Bounded $\phi $ - Variation in the Sense of Riesz”
Journal Mathematics and Applications, N0. 32, pp,
1-19 (2009)
58. W. Aziz, H. Leiva,
J. Matkowski and N. Merentes,
“Uniformly Continous Composition Oparators in the Space of Bounded $\varphi$-Variation Functions” Journal of Non Linear
Analysis, Vol. 72(2010) 3119-3123..
59. J. A. Guerrero, H. Leiva, J. Matkowski and N. Merentes” Uniformly Continuous Composition
Operators in the Spece of Bounded $\vphi$
Variation funtions”, Nonlinear Analysis Series A: Theory,
Methods and Applications, 72 (2010), 3119-3123.
60.
W. Aziz, H. Leiva, N.
Merentes and B. Rzepka “A Representation for $\varphi$-Bounded
Variation Functions in the Sense of Riesz”, Commentationes Mathematicae
Vol. 50, Nº. 2 (2010), 109-120
61.
H. Leiva, N. Merentes
and J. Sánchez “Interior Controllability of the B.B.M Equation” Journal
of Mathematics and Applications, Nº 33, pp
51-59 (2010).
62.
H. Leiva “An Extension
of Cramer`s Rule for nxm Matrixes” To appear in
Divulgaciones Matemáticas.
63. D. Bárcenas, H.
Leiva and A. Tineo “ Transversality Condition for Infinite Dimensional
Control Problem” ,Boletín de la Asociación
Matemática Venezolana, Vol. XVII, Nº. 2 (2010)
64. D. Bárcenas, S.-N. Chow, H. Leiva
and A. Tineo “ Skew-Product Semiflows and
Non Autonomous Control”, Journal of Mathematical Analysis and
Applications, Vol. 381 (2011) 247-262.
65. D. Bárcenas, H. Leiva and A. Tineo, “The Gelfand Integral and Continuity of the Adjoint of Evolution Operator”, Aceptado
en Int. Journal of Nonlinear Operators Theory and Applications(IJNOTA)
66.
H. Leiva, N. Merentes and José
L. Sanchez, “Interior Controllability of Semilinear
Systems of Parabolic Equations with Non-Diagonal Diffusion Matrix”
Submitted.
67.
H. Leiva and N. Merentes,
“Controllability of Second Order Equation in L2” ,
Mathematical Problems in Engineering, Vol. 2010, Art. ID 147195, 11pages,
doi:10.1155/2010/147195.
68.
H. Leiva and N. Merentes, “Interior
Controllability of the Thermoelastic Plate
Equation”. African Diaspora Journal of Mathematics, Vol. 12, Nº 1, pp.
1-14(2011).
69.
E. Iturriaga and H. Leiva, “A
Characterization of Semilinear Surjective Operators and Applications to Control”.
Applied Mathematics, Vol. 1, 137-145(2010).
70.
D. Barraez, H.
Leiva, N. Merentes and M. Narveaz,
“Exact Controllabiity of Semilinear
Stochastic Evolution Equations”, A. Diaspora Journal of Mathematics, Vol.
11, Number 2, pp. 1-16 (2011).
71.
H. Leiva, N. Merentes and J.L.
Sánchez, “Interior Controllability of the nD Semilinear Heat Equation”, A. Diaspora Journal of
Mathematics, Special Volume in
Honor fo Profs. C. Corduneanu,
A. Fink, and S. Zaidman, Vol. 12, Number 2, pp.
1-12 (2011).
72. J. Appell, H. Leiva, N. Merentes
and A. Vignoli “Un espectro de compresi\'on no lineal con
aplicaciones a la controlabilidad aproximada de
sistemas semilineales”. Submited.
73.
Alexander Carrasco
and Hugo Leiva, “A Lemma on Evolution Operator
and Applications”, Advances andApplicatios in
Mathematical Sciences, Vol. 9, Nº 1, 2011, pg. 1-21.
74.
A. Carrasco, H. Leiva, J. Rebaza and A. Tineo M., “Regularized Evolution Operators and
Applications”, Journal Mathemaical Control
Science and Applications (JMCSA), Vol. 4, Nº. 1, June 2011, pp. 33-51.
75.
Hugo Leiva and
Jahnett Uzcátegui,
“Approximate Controllability of Semilinear Difference
Equations and Applications”, Journal Mathemaical
Control Science and Applications (JMCSA), Vol. 4, Nº. 1, June 2011, pp.
9-19.
76.
H. Larez, H. Leiva and Jorge Rebaza,”Interior Controllability of Strongly Damped
Wave Equations”. Canadian Applied Mathematics Quarterly, Vol. 20, Nº. 3, Fall 2012.
77.
Hugo Leiva, Nelson Merentes and Miguel Narvaez, “Unbounded Perturbation
of the Controllability for Stochastic Evolution Equations”. International
Journal of Evolution Equations, Vol. 6, Nº.1.pp. 77-88. (2012).
78. L.A. Azocar, H. Leiva
and N. Merentes,
“Controllability of Semilinear Volterra-Stieltjes Equation in the Space of Regulated
Functions”. J. Control Theory Appl. 2012, 10(1) 123-127.
79. Hugo Leiva, “A Sufficient Condition for the
Controllability of
Semilinear Nonautomous
Systems”, Accepted in Journal Mathemaical
Control Science and Applications (2012).
80.
H. Leiva, N. Merentes and J.
Sánchez “Controllability of the Semilinear
Benjamin-Bona-Mahony Equation” Accepted in Journal
of Mathematics and Applications, (2011).
81.
H. Larez, H. Leiva and D. Mendoza, “Interior
Controllability of a Timoshenko Type Equation”, International Journal
of Control Science and Engineering 2011; 1(1): 15-21, DOI: 10.5923/j.control. (2011)0101.03
82.
A. Acosta, P. García and H. Leiva,
“Synchronization of non-identical chaotic systems”, Applicable Analysis,
2011, 1-12, iFirst.
83.
H. Leiva, N. Merentes and J.
Sánchez “Approximate Controllability of Semilinear
Reaction Diffusion” MATHEMATICAL CONTROL AND RALATED FIELDS, Vol. 2,
Nº.2, June 2012.
84.
Hugo Leiva and Wilmer Pereira “Interior Controllability of
the Linear Beam Equation”, African Diaspora Journal of Mathematics,
Vol. 14, pp. 30-38(2012).
85.
A. Carrasco, H. Larez, H. Leiva and J.
Sánchez, “Interior Controllability of the Semilinear
Strongly Damped Wave Equation”, Submited..
86.
A. Carrasco, H. Leiva and A. Tineo,”Controllability
of a Linear Cascade System in $H=L^{2}(\Omega)$”,
Accepted in International Journal of Control Science and Applications.
87.
Hugo Leiva, “Approximate Controllability of Semilinear Cascade Systems in H”, Int. Math. Forum,
Vol. 7, 2012, nº. 57, 2797-2813.
88.
H. Leiva, N. Merentes and J.
Sánchez, “A Chracterization of Semilinear Dense Range Operators and Applications”,
J. Abstract Analysis and Applications, Vol. 2013, Article ID 729093.
89. H. Leiva, J. Matute and N. Merentes, “On
the Hammerteing-Volterra Equation in the Space
of the Absolutely Continuous Functions”, Int. J. of Math. Analysis, Vol.
6, (2012), Nº. 60, 2977-2999.
90.
W. Aziz, H. Leiva and N. Merentes,
“Solutions of Hammerstein Equations in the Space BV”, Quaestiones Mathematicae 37(2014), 1-12
91. H. Leiva, N. Merentes, K. Nikodem and J.
L. Sánchez, “Strongly Convex Set-Valued Maps”, Accepted in Journal of
Global Optimization(proceeding of GCM10). J060-D-12-00194r2.
92.
H. Leiva, J. Matute and N. Merentes, “On the Hammerstein-Volterra
Equation in the Space of the Absolutely Continuous Functions”. Int.
Journal of Math. Analysis, Vol. 6, 2012, nº. 60, 2977-2999.
93.
H. Larez, Hugo Leiva and J. Rebaza ,”Approximate
Controllability of a Demped Wave Equations”. Canadian
Applied Mathematics Quarterly, Vol. 20, Nº. 3,
Fall 2012.
94.
A. Carrasco, H. Leiva, and J. L. Sánchez, “Controllability of
the Semilinear
Beam Equation”, Journal of Dynamical and Control Systems, (2013)
19:553-568. DOI 10.1007/s10883-013-9193-4.
95.
H. Leiva, N. Merentes, J.
Sanchez and A. Tineo M., “Approximate
Controllability of Semilinear Non-Autonomous
Systems in Hilbert Space”. Advance in Dynamical Systems and Applications,
Vol. 10, Nº. 1, pp. 57-75(2015).
96.
H. Leiva$, N. Merentes and J.
Sanchez$, “Approximate Controllability of a Semilinear
Heat”. International Journal of Partial Differential Equations,
Vol. 2013, Article ID 424309.
97.
L. Azocar, H. Leiva, J. Matute and N. Merentes, “On
the Hammerstein Equation in the Space of Functions of Bounded $\varphi$-variation in the Plane$”. ARECHIVUM
MATHEMATICUM (BRNO), Tomus 49 (2013), 51-64.
98.
Hugo Leiva and Jahnett Uzcategui, “Observability of Linear
Differential Equations in Hilbert Spaces and Applications”, African
Diaspora Journal of Mathematics, Special Volume in Honor of Prof. Gaston M . N’Guerkata,
Vol. 15, Nº. 1, pp. 1-13(2013).
99.
Hugo Leiva, “Rothe's Fixed Point
Theorem and Controllability of Semilinear Nonautonomous Systems”. System and Control Letters 67
(2014) 14-18.
100.
Hugo Leiva, “Rothe's Fixed Point
Theorem and Controllability of Semilinear Nonautonomous Systems with Memory and Delay”.
Accepted in Science and Information Conference 2014. London, UK.
101.
A. Carrasco, Hugo Leiva, J.L. Sanchez and A. Tineo
M, ”Approximate Controllability of the Semilinear
Impulsive Beam Equation with”. Transaction on IoT
and Cloud Computing 2(3) 70-88, 2014.
102.
Hugo Leiva, “"Controllability of Semilinear
Impulsive Nonautonomous
Systems", International Journal of Control, 2014,
http/dx.doi.org/10.1080/00207179.2014.966759.
103.
Hugo Leiva and Nelson Merentes$,
“Approximate Controllability of the Semilinear
Heat Equation with Memory and Delay”. International J. of Pure and Engg. Mathematics (JJPEM), ISSN 2348-3881, Vol. 3 Nº.
I (April, 2015), pp.
104.
A. Carrasco, Hugo Leiva and N. Merentes,”Controllability
of the Perturbed Beam Equation”. IMA
Journal of Mathematical Control and Information (2015) pp. 1-13,
doi:10.1093/imamci/dnu056.
105.
Hugo Leiva and N. Merentes,”Approximate
Controllability of the Impulsive Semilinear
Heat Equation”. Journal of Mathematics and Applications, Nº. 38, pp 85-104 (2015).
106.
Hugo Leiva, "Approximate Controllability of Semilinear Impulsive Evolution Equations",
Abstract and Applied Analysis, Vol. 2015, Article ID 797439, 7 pages.
107.
Hugo Leiva, E. A. Medina and N. Merentes,
“Relative Asymptotic Equivalence Between Difference Equations”, Journal
Difference Equations and Applications, Vol. 21, Nº. 5, 418-436(2015)
108.
H. Larez, Hugo Leiva, J. Rebaza and A. Rios,”Approximate
Controllability of the Semilinear Impulsive
Strongly Demped Wave Equations”. Journal of
Applied Analysis, 2015:aop.
109.
A. Carrasco, Hugo Leiva, N. Merentes and J.L.
Sanchez,”Approximate Controllability of the Semilinear Beam Equation with Memory and Delay”.
Submitted to Nonlinear Analysis
110.
A. Carrasco, H. Leiva, N. Merentes and J.
L. Sánchez, “Approximate Controllability of Semilinear
System of Parabolic Equations with Delay”, Asian Journal of Control, Vol. 18, Nº.
4, pp. 1-10, July 2015.
111.
D. Barraez, H. Leiva, N. Merentes and M. Narvaez, “Controllability for Semilinear Stochastic Difference Equations”,
Preparation.
112.
Hugo Leiva, A. Rios,
J. L. Rodriguez, A. Tineo,”Controllabilidad
de Sistemas Descriptores Semilineales” Congreso
Latinoamericano de Control Automatico, CLCA
2014. Octubre 14-17. Cancún,
Quintana Roo. México.
LIBROS:
1. D.
Bárcenas y H. Leiva, Semigrupos
Fuertemente Continuos y Algunas Aplicaciones XV Escuela Venezolana
de Matemáticas (2000)
2. H.
Leiva y H. Zambrano, Controlabilidad de
Sistemas Semilineales VI TForMa (2005)
3. D.
Bárcenas y H. Leiva, Semigroups and
Control Theory(2008).
Editions Societe Mathematique de France, serie "Seminaires et Congres"
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