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A lemma on C0-semigroups on time scales and approximate controllability of the heat dynamic equation
ArticleAbstract: In this paper, we present a lemma that allows us to characterize a broad class of C<inf>0</inf>-semiPalabras claves:C0-semigroups, controllability, heat equation, infinitesimal generator, Time scalesAutores:Duque C., Hugo Leiva, Martin Bohner, Zoraida SívoliFuentes:scopusQualitative Analysis of a Leslie-Gower Predator-Prey Model with Delay
ArticleAbstract: In this paper a Leslie-Gower predator-prey model with distributed delay is proposed and analyzed. WePalabras claves:Competitive system, DELAY, Leslie-Gower predator-prey model, Stable peri-odic orbitAutores:Duque C., Zoraida SívoliFuentes:scopusOn the Existence and Stability of Bounded Solutions for Abstract Dynamic Equations on Time Scales
ArticleAbstract: In this article we study the existence and stability of bounded solutions for semilinear abstract dyPalabras claves:Autores:Duque C., Hugo Leiva, Rodolfo Gallo, Tridane A.Fuentes:scopusCONTROLLABILITY OF A SEMILINEAR NEUTRAL DYNAMIC EQUATION ON TIME SCALES WITH IMPULSES AND NONLOCAL CONDITIONS
ArticleAbstract: In this paper we consider a control system governed by a neutral differential equation on time scalePalabras claves:controllability, impulses, Nonlocal conditions, semilinear neutral dynamic equation, Time scalesAutores:Duque C., Hugo LeivaFuentes:scopusAttractive periodic solutions of a discrete holling-tanner predator-prey model with impulsive effect
ArticleAbstract: The main concern of this paper is to study the dynamics of a discrete Holling-Tanner predator-prey sPalabras claves:Holling-Tanner, Impulsive discrete predator-prey, Periodic solutionAutores:Bladismir Ruiz, Duque C., Luis Bladismir Ruiz Leal, Maribel C. Pérez, Uzcátegui J.Fuentes:scopusControllability of the Burgers equation under the influence of impulses, delay and nonlocal conditions
ArticleAbstract: In the case of the Burges equation, this work proves the following conjecture: impulses, delays, andPalabras claves:Impulsive burgers equation with delays and nonlocal conditions, Interior approximate controllability, New technique, strongly continuous semigroupsAutores:Duque C., Hugo Leiva, Oscar E. Camacho, Uzcátegui J.Fuentes:googlescopusApproximate Controllabilty of Semilinear Dynamic Equations on Time Scale
ArticleAbstract: In this paper we study the approximate controllability of semilinear systems on time scale. In orderPalabras claves:Approximate controllability, Semilinear control systems, time scaleAutores:Duque C., Hugo Leiva, Uzcátegui J.Fuentes:googlescopusApproximate controllability of semilinear strongly damped wave equation with impulses, delays, and nonlocal conditions
ArticleAbstract: In this paper, we prove that the interior approximate controllability of the linear strongly dampedPalabras claves:Impulsive semilinear strongly damped wave equation with delays and nonlocal conditions, Interior approximate controllability, Rothe's fixed point theorem, strongly continuous semigroupsAutores:Duque C., Hugo Leiva, Oscar E. Camacho, Uzcátegui J.Fuentes:googlescopusExistence and Uniqueness of Solutions for a Semilinear Functional Dynamic Equation with Infinite Delay and Impulses
ArticleAbstract: This work is devoted to the prove of the existence of solutions for a semilinear retarded differentiPalabras claves:continuation, Existence, infinite delay, infinite impulses, Leray-Schauder alternative, semilinear functional dynamic equations, Time scales, uniquenessAutores:Duque C., Hugo Leiva, Tridane A.Fuentes:googlescopusMixed Cost Function and State Constrains Optimal Control Problems
ArticleAbstract: In this paper, we analyze an optimal control problem with a mixed cost function, which combines a tePalabras claves:Dubovitskii–Milyutin theory, Maximum principle, mixed constrains on the state, Optimal control problem, variational differential equationAutores:Duque C., Guido Tapia-Riera, Hugo Leiva, Jhoana P. Romero-LeitonFuentes:scopus