Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay

Abstract In this paper we employ the method of maximal and minimal solutions coupled with comparison principles and the monotone iterative technique to obtain results of existence and approximation of solutions for differential equations with piecewise constant delay of generalized type (DEPCAG).

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Autor principal: Chiu,Kuo-Shou
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100175
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spelling oai:scielo:S0716-091720210001001752021-01-26Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delayChiu,Kuo-Shou Piecewise constant arguments Monotone iterative method Comparison results Maximal and minimal solutions Abstract In this paper we employ the method of maximal and minimal solutions coupled with comparison principles and the monotone iterative technique to obtain results of existence and approximation of solutions for differential equations with piecewise constant delay of generalized type (DEPCAG).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.1 20212021-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100175en10.22199/issn.0717-6279-2021-01-0011
institution Scielo Chile
collection Scielo Chile
language English
topic Piecewise constant arguments
Monotone iterative method
Comparison results
Maximal and minimal solutions
spellingShingle Piecewise constant arguments
Monotone iterative method
Comparison results
Maximal and minimal solutions
Chiu,Kuo-Shou
Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
description Abstract In this paper we employ the method of maximal and minimal solutions coupled with comparison principles and the monotone iterative technique to obtain results of existence and approximation of solutions for differential equations with piecewise constant delay of generalized type (DEPCAG).
author Chiu,Kuo-Shou
author_facet Chiu,Kuo-Shou
author_sort Chiu,Kuo-Shou
title Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
title_short Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
title_full Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
title_fullStr Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
title_full_unstemmed Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
title_sort minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100175
work_keys_str_mv AT chiukuoshou minimalandmaximalsolutionstofirstorderdifferentialequationswithpiecewiseconstantgeneralizeddelay
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