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A lemma on C<inf>0</inf>-semigroups and applications
ArticleAbstract: In this note we characterize a large class of C0-semigroups which can be applied to prove the existePalabras claves:C -semigroup 0, Existence of solutions, Systems of partial differential equationsAutores:Hugo LeivaFuentes:googlescopusApproximate controllability of non-instantaneous impulsive semi-linear neutral differential equations with non-local conditions and unbounded delay
ArticleAbstract: In this work, we study the approximate controllability for retarded neutral differential equations wiPalabras claves:controllability, Non-instantaneous impulses, Non-local conditions, semi-linear neutral equations, unbounded delayAutores:Hugo Leiva, Lalvay-Segovia S., Lenin Riera-Segura, Oscar E. Camacho, SEBASTIAN LEONARDO LALVAY SEGOVIAFuentes:googlescopusOn the continuity of the adjoint of evolution operators
ArticleAbstract: By associating a quasi semigroup to a commutative evolution operator and using techniques from vectoPalabras claves:adjoint of evolution operators, Asplund spaces, Gel’fand integral, strongly continuous semigroupsAutores:Ambrosio Tineo Moya, Barcenas D., Hugo Leiva, Luis Bladismir Ruiz LealFuentes:googlescopusRobustness of the controllability for the heat equation under the influence of multiple impulses and delays
ReviewAbstract: For many control systems in real life, impulses and delays are intrinsic properties that do not modiPalabras claves:Interior approximate controllability, robustness, semilinear heat equation with impulses and delays, strongly continuous semigroupAutores:Antonio Acosta, Hugo LeivaFuentes:googlescopusSolutions of Hammerstein equations in the space BV (I<sup>b</sup><inf>a</inf>)
ArticleAbstract: where a = (a1, a2), b = (b1, b2) ∈ ℝ2, (Figure presented.) = [a1, b1]×[a2, b2], v : (Figure presentePalabras claves:Banach spaces, bounded variation, Hammerstein integral equationAutores:Aziz W., Hugo Leiva, Merentes N.Fuentes:googlescopus