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1. 

   Approximate controllability of non-instantaneous impulsive semi-linear neutral differential equations with non-local conditions and unbounded delay

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Oscar Camacho --- Universidad San Francisco de Quito USFQ, Ecuador S. Lalvay-Segovia --- , Ecuador Hugo Leiva --- , Ecuador L. Riera-Segura --- , Ecuador

   In this work, we study the approximate controllability for retarded neutral differential equations with unbounded delay, non-instantaneous impulses, and non-local conditions. First, we set the problem in a natural Banach phase space satisfying Hale-Kato axiomatic Theory about the phase space...

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2. 

   A study on approximate controllability of linear impulsive equations in Hilbert spaces

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nazim I. Mahmudov --- Eastern Mediterranean University, Turkey

   In this paper, we study an approximate controllability for the impulsive linear evolution equations in Hilbert spaces. We give a representation of solution in terms of semigroup and impulsive operators. We present the necessary and sufficient conditions for approximate controllability...

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3. 

   A lemma on C ₀-semigroups on time scales and approximate controllability of the heat dynamic equation

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Martin Bohner --- Missouri University of Science and Technology, USA Cosme Duque --- Universidad de Los Andes, Hugo Leiva --- University YachayTech, School of Mathematical and Computational Sciences, Ecuador Zoraida Sivoli --- Universidad Siglo 21,

   In this paper, we present a lemma that allows us to characterize a broad class of C 0-semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the...

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4. 

   Approximate controllability of a parabolic dynamic equation on homogeneous time scales

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Martin Bohner --- Missouri University of Science and Technology, USA Cosme Duque --- Universidad de Los Andes, Hugo Leiva --- University YachayTech, School of Mathematical and Computational Siences, San Miguel de Urcuqui, Ecuador

   This paper aims to explore the approximate controllability of a semilinear system of parabolic dynamic equations on homogeneous time scales. Building on the innovative semigroup theory for time scales introduced in [13], we leverage a pivotal lemma from [5] that...

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