<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2631-2654</journal-id>
<journal-title><![CDATA[Revista Digital Novasinergia]]></journal-title>
<abbrev-journal-title><![CDATA[Novasinergia]]></abbrev-journal-title>
<issn>2631-2654</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Chimborazo ]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2631-26542020000100067</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Existencia de soluciones limitadas para ecuaciones retardadas con retardo infinito, impulsos y condición no local]]></article-title>
<article-title xml:lang="en"><![CDATA[Existence of bounded solutions for retarded equations with infinite delay, impulses, and nonlocal condition]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Carrillo]]></surname>
<given-names><![CDATA[Génesis]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,School of Mathematical and Computational Sciences, Department of Mathematics, San Miguel de Urcuquí  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Ecuador</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>11</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>11</month>
<year>2020</year>
</pub-date>
<volume>3</volume>
<numero>2</numero>
<fpage>67</fpage>
<lpage>79</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_arttext&amp;pid=S2631-26542020000100067&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_abstract&amp;pid=S2631-26542020000100067&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_pdf&amp;pid=S2631-26542020000100067&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: En este trabajo, estudiamos la existencia de soluciones acotadas para una ecuación retardada semilineal con retardo infinito, impulso y condiciones no locales. También mostramos que bajo algunas condiciones esta solución acotada es única, periódica o casi periódica dependiendo de las condiciones impuestas a los términos que involucran la ecuación. A través de este trabajo, asumiremos que la ecuación lineal asociada tiene una dicotomía exponencial, lo que nos permite encontrar una fórmula para las soluciones acotadas, y a partir de esta fórmula, podemos aplicar el Teorema del punto fijo de Banach para demostrar la existencia de tales soluciones acotadas]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: In this work, we study the existence of bounded solutions for a semilinear retarded equation with infinite delay, impulse, and non-local conditions. We also show that under some conditions this bounded solution is unique, periodic, or almost periodic depending on the conditions imposed on the terms involving the equation. Through this work, we shall assume that the associated linear equation has an exponential dichotomy, allowing us to find a formula for the bounded solutions, and from this formula, we are able to apply Banach Fixed Point Theorem to prove the existence of such bounded solutions]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Exponential dichotomy]]></kwd>
<kwd lng="en"><![CDATA[bounded solution]]></kwd>
<kwd lng="en"><![CDATA[unique]]></kwd>
<kwd lng="en"><![CDATA[periodic]]></kwd>
<kwd lng="en"><![CDATA[almost periodic]]></kwd>
<kwd lng="es"><![CDATA[Cuasi periódica]]></kwd>
<kwd lng="es"><![CDATA[dicotomía exponencial]]></kwd>
<kwd lng="es"><![CDATA[periódica]]></kwd>
<kwd lng="es"><![CDATA[solución acotada]]></kwd>
<kwd lng="es"><![CDATA[única]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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