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A characterization of semilinear dense range operators and applications
ArticleAbstract: We characterize a broad class of semilinear dense range operators G H: W → Z given by the followingPalabras claves:Autores:Hugo Leiva, Merentes N., Sanchez J.L.Fuentes:googlescopusControllability of second-order equations in L<sup>2</sup>(ω)
ArticleAbstract: We present a simple proof of the interior approximate controllability for the following broad classPalabras claves:Autores:Hugo Leiva, Merentes N.Fuentes:scopusApproximate controllability of semilinear reaction diffusion equations
ArticleAbstract: In this paper we prove the approximate controllability of the a broad class of semilinear reaction dPalabras claves:Compact semigroups, heat equation, Interior controllability, Semilinear reaction diffusion equations, strongly continuous semigroupsAutores:Hugo Leiva, Merentes N., Sanchez J.L.Fuentes:googlescopusRelative asymptotic equivalence between difference equations
ArticleAbstract: In this paper we study the relative asymptotic equivalence between the solutions of the following twPalabras claves:asymptotic behaviour, asymptotic equivalence, discrete nonlinear evolution equation, generalized discrete dichotomy, Lyapunov exponentAutores:Hugo Leiva, Medina E., Merentes N.Fuentes:googlescopusNew hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets
ArticleAbstract: In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sPalabras claves:Fractal sets, Generalized convexity, H-convex functions, Hermite-Hadamard type inequality, Jensen inequalityAutores:Hernández J.E.H., Merentes N., Miguel Vivas-CortezFuentes:googlescopusNonlinear spectral theory and controllability of semilinear evolution equations
Book PartAbstract: In this paper we introduce and apply a new nonlinear spectrum to characterize theexact controllabiliPalabras claves:exact controllability, Nonlinear spectral theory, Semilinear volution equationAutores:Appell J., Hugo Leiva, Merentes N.Fuentes:scopusOn Functions of Bounded (φ, k)-Variation
ArticleAbstract: Given a φ-function φ and k ϵ N we introduce and study the concept of (φ, k)-variation in the sense oPalabras claves:bounded (φ, k)-variation, De la Valleé Poussin second-variation, Popoviciu kth variation, Riesz φ-variationAutores:Hugo Leiva, Merentes N., Rivas S., Sanchez J.L., Wróbel M.Fuentes:googlescopusOn metric semigroups-valued functions of bounded Riesz- Φ -variation in several variables
ArticleAbstract: Using classical techniques related to the so-called Hardy–Vitali variation, we present the class ofPalabras claves:Metric semigroup, Riesz’s Lemma, Φ -Variation, φ-functionAutores:Ereú J.J., Giménez J., Merentes N., Mireya Rafaela Bracamonte PFuentes:googlescopusOn the Hammerstein equation in the space of functions of bounded φ-variation in the plane
ArticleAbstract: In this paper we study existence and uniqueness of solutions for the Hammerstein equation in the spaPalabras claves:Existence and uniqueness of solutions of the Hammerstein integral equation in the plane, Rectangle, Φ-bounded total variation norm onAutores:Azócar L., Hugo Leiva, Matute J., Merentes N.Fuentes:googlescopusOn the hammerstein-volterra equation in the space of the absolutely continuous functions
ArticleAbstract: In this paper we prove the existence and the uniqueness of the solutions of the Hammerstein-VolterraPalabras claves:A variation of parameters formula for the solutions, Absolutely continuous functions, Bounded variation norm, controllability, Hammerstein-volterra integral equation, Initial conditionsAutores:Hugo Leiva, Matute J., Merentes N.Fuentes:googlescopus