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A Study of Solutions of Some Nonlinear Integral Equations in the Space of Functions of Bounded Second Variation in the Sense of Shiba
ArticleAbstract: In this paper, we study the existence and uniqueness of solutions for nonlinear Hammerstein, VolterrPalabras claves:bounded second variation in the sense of Shiba, existence and uniqueness, Hammerstein, Integral equation, Volterra, Volterra–HammersteinAutores:Ebner Pineda, Ereú J.J., Liliana Rebeca Pérez, Luz RodriguezFuentes:googlescopusThe Banach Algebra of Bounded ϕ-Variation Functions on Compact Subsets of ℂ
ArticleAbstract: A concept of generalized bounded ϕ−variation for complex-valued functions is introduced. We prove thPalabras claves:Banach algebra, bounded variation, Ideal, φ-variationAutores:Ereú J.J., Luz Elimar Marchan, Mireya Rafaela Bracamonte PFuentes:scopusOn solutions of nonlinear integral equations in the space of functions of Shiba-bounded variation
ArticleAbstract: In this paper we discuss the existence and uniqueness of solutions of the nonlinear Hammerstein intePalabras claves:existence and uniqueness, Hammerstein integral equation, integral equations, Lp bounded variation, Volterra integral equations, Volterra-Hammerstein integral equationAutores:Ereú J.J., Giménez J., Liliana Rebeca PérezFuentes:scopusUniformly continuous superposition operators in the space of functions of bounded n-dimensional Pdbl -variation
ArticleAbstract: We prove that if a superposition operator maps a subset of the space of all metric-vector-space-valuPalabras claves:bounded variation, Bounded Φ-variation, Metric semigroup, Superposition operatorAutores:Ereú J.J., Giménez J., Merentes N., Mireya Rafaela Bracamonte PFuentes:googlescopusA Qualitative Study of Solutions of Nonlinear Volterra Integral Equation in the Plane, from the Perspective of Shiba Bounded Variation
ArticleAbstract: In this article a nonlinear Volterra integral equation is studied in the space of functions of the bPalabras claves:Autores:Ereú J.J., Liliana Rebeca Pérez, Luz RodriguezFuentes:scopusEXISTENCE OF A LOCALLY BOUNDED VARIATION SOLUTION OF A MODEL WITH INFINITE DELAY FOR AN ISOLATED SPECIES
ArticleAbstract: This qualitative study focuses on the existence of solutions of the Volterra integral equation withiPalabras claves:infinite delay, Locally bounded variation, Prolongation of solutions, Volterra integral equationAutores:Ereú J.J., Liliana Rebeca Pérez, Luz Elimar Marchan, Mireya Rafaela Bracamonte PFuentes:scopusSome results on the space of bounded second κ-variation functions
ArticleAbstract: In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps thePalabras claves:bounded second κ-variation, Hammerstein, Hammerstein-Volterra, Integral equation, Superposition operator, Volterra existence and uniquenessAutores:Ereú J.J., Henry Rojas, Liliana Rebeca Pérez, Luz Elimar MarchanFuentes:scopusMultiplication operators on the Banach algebra of bounded φ-variation functions on compact subsets of C
ArticleAbstract: Let A φ (K) be the Banach algebra of bounded φ -variation functions defined on a compact set K in thPalabras claves:multiplication operator, φ-variationAutores:Ereú J.J., Luz Elimar Marchan, Mireya Rafaela Bracamonte PFuentes: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-function, φ-variationAutores:Ereú J.J., Giménez J., Merentes N., Mireya Rafaela Bracamonte PFuentes:googlescopusOn ΛpBV -Solutions of Some Nonlinear Integral Equations on the Plane
ArticleAbstract: In this paper, we define the space of functions Λp-bounded variation on the plane and endow it withPalabras claves:Autores:Ereú J.J., Liliana Rebeca Pérez, Luz RodriguezFuentes:googlescopus