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Controllability 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:googlescopusQualitative analysis of a mathematical model about population of green turtles on the galapagos island
ArticleAbstract: According to the IUCN, most sea turtles fall into one of the endangered categories. Since, sea turtlPalabras claves:CHELONIA MYDAS, Equilibrium point, Global stability, Local stability, Population dynamics, Sex-structured continuous time modelAutores:Candy Herrera, Duque C., Hugo LeivaFuentes:googlescopusRelative asymptotic equivalence of dynamic equations on time scales
ArticleAbstract: This paper aims to study the relative equivalence of the solutions of the following dynamic equationPalabras claves:Contraction mapping theorem, Dynamic equations on time scales, Lyapunov exponent, Polynomial exponential trichotomy, Relative asymptotic equivalence, Rodrigues inequalityAutores:Duque C., Hugo Leiva, Tridane A.Fuentes:googlescopus