The distribution of zeros of solutions for a class of third order differential equation

Abstract For third order linear differential equations of the form (r(t)x’ (t))’’ + p(t)x’ (t) + q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of H...

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Autores principales:	Cesarano,C., Arahet,M. A., Al-shami,T. M.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Third order differential equations Opial and Hardy inequalities
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501301
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spelling	oai:scielo:S0716-091720210005013012021-10-05The distribution of zeros of solutions for a class of third order differential equationCesarano,C.Arahet,M. A.Al-shami,T. M. Third order differential equations Opial and Hardy inequalities Abstract For third order linear differential equations of the form (r(t)x’ (t))’’ + p(t)x’ (t) + q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality, some generalizations of Opial’s inequality and Boyd’s inequality.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.5 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501301en10.22199/issn.0717-6279-4002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Third order differential equations Opial and Hardy inequalities
spellingShingle	Third order differential equations Opial and Hardy inequalities Cesarano,C. Arahet,M. A. Al-shami,T. M. The distribution of zeros of solutions for a class of third order differential equation
description	Abstract For third order linear differential equations of the form (r(t)x’ (t))’’ + p(t)x’ (t) + q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality, some generalizations of Opial’s inequality and Boyd’s inequality.
author	Cesarano,C. Arahet,M. A. Al-shami,T. M.
author_facet	Cesarano,C. Arahet,M. A. Al-shami,T. M.
author_sort	Cesarano,C.
title	The distribution of zeros of solutions for a class of third order differential equation
title_short	The distribution of zeros of solutions for a class of third order differential equation
title_full	The distribution of zeros of solutions for a class of third order differential equation
title_fullStr	The distribution of zeros of solutions for a class of third order differential equation
title_full_unstemmed	The distribution of zeros of solutions for a class of third order differential equation
title_sort	distribution of zeros of solutions for a class of third order differential equation
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501301
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The distribution of zeros of solutions for a class of third order differential equation

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