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Exponential bounds and stability for a system of parabolic equations
ArticleAbstract: In this paper we study exponential bounds and asymptotic stability of the zero solution of a non-linPalabras claves:Asymptotic stability, Exponential bounds, System of parabolic equationsAutores:Hugo Leiva, Sequera I.Fuentes:googlescopusExponential dichotomy for a nonautonomous system of parabolic equations
ArticleAbstract: In this paper we study the existence and roughness of exponential dichotomy (ED) of a non-autonomousPalabras claves:Dynamical spectrum, Exponential dichotomy, Skew-product semiflow, System of parabolic equationsAutores:Hugo LeivaFuentes:googlescopusExponentially-bounded solutions of a system of parabolic equations
ArticleAbstract: In this article we study the existence of exponentially-bounded solutions of the following non-lineaPalabras claves:AMS (MOS) Subject Classifications: Primary: 35B35, Exponentially bounded solution, Secondary: 35K57, System of parabolic equationsAutores:Antonio Acosta, Hugo LeivaFuentes:googlescopusFinite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling
ArticleAbstract: We consider two reaction-diffusion equations connected by one-directional coupling function and studPalabras claves:Autores:Antonio Acosta, Hugo Leiva, Merlitti A., Pedro GarcíaFuentes:googlescopusExact controllability for semilinear difference equation and application
ArticleAbstract: In this paper, we study the exact controllability of the following semilinear difference equation z(Palabras claves:Difference equations, exact controllability, heat equation, LipschitzAutores:Hugo Leiva, Uzcátegui J.Fuentes:googlescopusExact controllability of semilinear evolution equation and applications
ArticleAbstract: In this paper we characterise the exact controllability for the following semilinear evolution equatPalabras claves:controllability, damped wave equation, Semilinear evolution equationAutores:Hugo LeivaFuentes: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:googlescopusExistence of solutions of semilinear time varying differential equations with impulses, delay, and nonlocal conditions
ArticleAbstract: In this work, we prove the existence of solutions for semilinear time varying systems of ordinary diPalabras claves:DELAY, impulses, Karakostas fixed point theorem, Nonlocal conditions, Time Varying SystemsAutores:Dalia Cabada, Dalia Nathaly Cabada Pesantez, Hugo Leiva, Rodolfo GalloFuentes:googlescopusExistence, stability and smoothness of bounded solutions for an impulsive semilinear system of parabolic equations
ArticleAbstract: In this paper we study the existence, stability and smoothness of bounded solutions for an impulsivePalabras claves:Bounded solutions, Impulsive semilinear system of parabolic equations, Stability, smoothnessAutores:Hugo Leiva, Zoraida SívoliFuentes:scopusBounded solutions for impulsive semilinear evolution equations with non-local conditions
Book PartAbstract: For semilinear evolution equations in function spaces, difficulties arise when the nonlinear term coPalabras claves:Bounded mild solutions, Non-local conditions, Sectorial operator, Semilinear Burgers equation, Semilinear impulsive evolution equationsAutores:Diagana T., Hugo LeivaFuentes:googlescopus