CURRICULUM VITAE
1. PERSONAL DATA
Surname:
Leiva
Name: Hugo
Place of birth: Venezuela, Estado
Anzoátegui, Anaco
Nationality: Venezuelan
Identity Card: 4879430
Address: Avenida Las Americas, Sector Santa Bárbara, diagonal al Club Militar. Casa #1. Mérida –
Telephones: (0274) 2662975
Current Job: Full Professor at Faculty of Sciences of Universidad de Los
Address: Final
Ave. Las Américas, Núcleo
E-mail
Languages: English and Spanish.
2. UNDERGRADUATE STUDIES
Bachelor in
Mathematics. Universidad Central de Venezuela,
3. POSTGRADUATE STUDIES
Master Degree
MSc. in
Mathematics . Universidad Central de Venezuela, Caracas -
Venezuela, 1985.
PhD Degree
PhD. (Dr) 1995 Georgia Tech USA, with Honor: OUTSTANDING PERFORMANCE.
v 4. EXPERIENCE
Teaching positions
Universidad Central de
Venezuela, Caracas, Venezuela. Instructor. (1981-1985)
Universidad de Los Andes, Mérida - Venezuela. (1985-1987)
Universidad de Los Andes, Mérida - Venezuela. Associate Professor. (1987-1993)
Universidad de Los Andes, Mérida - Venezuela. Full Professor (since 1996)
Visiting Prof. Gatech -
Visiting
Prof. UNAM (2009)
Administrative Jobs
Coordinator of the Applied
Mathematics Group in the Department of Mathematics, at Science Faculty of ULA
2004-2005.
Coordinator of the Differential
Equations Group, in the Department of
Mathematics at Sciences Faculty of ULA
March, 1996 - until 2000.
Organizer of the International Congress: 1st Meeting on Differential
Equations and Dynamical Systems, held in Mérida 1997.
Coordinating a Comprehensive Cooperation Agreement
between the Universidad de Los Andes and
Head of Department of Mathematics, Faculty of Sciences of the ULA,
2003-2005.
The Vice – President of Universidad Nacional Experimental de Los Llanos Occidentales “ Ezequiel Zamora” (
UNELLEZ ) Barinas, January 2005 to July 2006-Venezuela
Director of: CODEPRE-ULA
v 5.
NATIONAL AND INTERNATIONAL AWARDS and RECOGNITIONS
Feature Review (Feature Article). It is a special edition for the best
articles of Mathematical Review. This recognition was given to a work of
forty-eight (48) pages, which has following characteristics. Title: Existence
and roughness of the exponential dichotomy for skew-product semi-flow in Banach
spaces. J. Differential Equations. Volume. 120 (1995), No. 2, pages 429-477.
National Award for best scientific work in mathematics - CONICIT-1999.
Article:
H. Leiva "Exponential
Dochotomy for a Non-Autonomous System of Parabolic Equations" J. of
Dynamics and Differential Equations, Vol.10.N º. 3, 1998. Regional Award for best
scientific work in mathematics - FUNDACITE, Mérida - 1999.
Article:
H, Leiva “Existence of Bounded Solutions of a Second
Order System with Dissipation” J. of Math. Anal. And
Applications 237, 288 – 302 (1999). Note: This work
contributes to solving the problem of the famous suspension bridge in
National Science Award Lorenzo Mendoza Fleury. (Polar Prize) 2001
Order Tulio Febres Cordero, in his first class. 2004
PPI III (03). THE PROMOTION OF RESEARCH PROGRAM
(2007)
MEMBER OF THE COMMISSION ON PHYSICAL
SCIENCES, MATHEMATICS AND CHEMISTRY OF THE PROMOTION OF RESEARCH PROGRAM. (2007)
Member of the Editorial Board of the: Internacional Journal of System, Control and
Communication.
Editor in
Chief of the Journal of Mathematical Control Sciences and Applications (JMCSA)
6. Adviser of Bachelor Tesis
Gladis Bruzual: Un problema de
Control Óptimo en Espacios de Banach. Facultad de Ciencias, U.C.V. 1984.
Ambrosio Tineo: Semigrupo Local
de Operadores Facultad de Ciencias, U.L.A. 1987.
José Ruiz: Controlabilidad
con Restricciones Facultad de Ciencias, U.L.A. 1989.
Maria E. Parodí
P.: Perturbaciones de los S. De E D. No lineales. Ecuaciones L. Facultad de
Ciencias, U.L.A. 1998.
Hichert
Zambrano: Controlabilidad de Sistemas No-Lineales. Facultad de Ciencias, U.L.A.
1998.
Jaime Munibe: Una Aplicación
del Teorema de Hille– Yosida-Phillips en Termo. Facultad de Ciencias, U.L.A.
1999.
Armenta Magali: Un teorema sobre
Estabilidad Orbital y Aplicaciones. Facultad de Ciencias, U.L.A. 2001.
Angulo Naive: Controlabilidad
de un Sistema Semilineal no Autónomo con retardo. U.L.A.
7. Adviser of Master Tesis
José Ibrain Sequera: A. Exponenciales
y Estabilidad S.E.D. Parabólicos. LUZ. 1998.
Luis García: Existencia de
Soluciones Acotadas para E.D.S. con
Difusión. Facultad de Ciencias, U.L.A. 1999.
Zoraida Sívoli: Existencia de
Soluciones Acotadas Para Ecuaciones
Diferenciales Facultad de Ciencias, U.L.A. 1998.
Jesús Matute: Estudio de
Marisol Bonilla:
Un
criterio de Controlabilidad. Facultad de Ciencias, U.L.A.2001
Ambrosio Tineo: Quasi Semigrupos
y Edu. De E. Facultad de Ciencias, U.L.A. 2001
Cristina
Sandoval: Existencia de Soluciones E. A. Facultad de Ciencias, U.L.A. 2001.
8. Adviser of Doctoral Thesis
Zoraida Sívoli : Existencia de Soluciones Acotadas y
Controlabilidad de Ecuaciones de
Evolución Semilineales. Finalizo y defendió
en Junio 2006(defendida).
Alexander
Carrasco: Ecuaciones Diferenciales Parciales Funcionales: Representación,
Controlabilidad, Existencia de Soluciones Acotadas. Programa de Doctorado de
Hanzel Larez Controlabilidad
de una Clase Amplia de Ecuaciones de Evolución
y Aplicaciones. Facultad de Ingeniería, Doctorado en Ciencias Aplicadas,
U.L.A. 2008.
Jahnett
Uzcátequi: Controllabilidad de Ecuaciones
en Diferencias en Espacios de Hilbert y Aplicaciones.
Jesús Matute: Existencia de un
Atractor Global para un Sistema de
Reacción Difusión. Facultad de Ciencias, U.L.A. 2008.
Miguel Narvaez: Cotrollability of Evolution Stochastic Equations
Ambrosio Tineo: Skew Product
Semiflows and Non-Automomous Control Systems.
Facultad
de Ingeniería, Doctorado en Ciencias Aplicadas, U.L.A. 2008.
9. LAST
MEETING AND CONFERENCES
9.1. IX Americas conference on
Differential Equations,
9.2. ICMC Summer Meeting on Differential
Equations,
9.3. XXV
Jornadas Venezolanas de Matemáticas 2012.
9.4
ICMC Summer Meeting on Differential Equations,
9.5. International Conference on Dynamics of Differential Equations,''
Georgia Tech on March
16-20, 2013.
9.6 ICMC
Summer
Meeting on Differential Equations, Sao Carlos, Brazil, 2014
9.7. ICMC Summer Meeting on Differential
Equations, Sao Carlos, Brazil, 2015.
9.8. 9.1. X Americas conference on Differential Equations, Buenos Aires,
Argentina, 2015.
10. PUBLICATIONS
Books
D. Bárcenas y
H. Leiva, “Semigrupos Fuertemente Continuos y Algunas Aplicaciones”
XV Escuela Venezolana de Matemáticas
(2000)
H. Leiva y H. Zambrano, “Controlabilidad de
Sistemas Semilineales” VI TForMa (2005)
D. Bárcenas y H. Leiva, “Semigroups and Control
Theory”(2012)
Editions Societe Mathematique de France, serie "Seminaires et Congres"
10.2 ARTICLES
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”,
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
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”.
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
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
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,
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,
61. H. Leiva,
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
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
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,
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.
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,
81. H. Larez, H. Leiva and D.
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.
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