Multiple solutions for a second order equation with radiation boundary conditions

A second order ordinary differential equation with a superlinear term is studied under radiation boundary conditions. Employing the variational method and an accurate shooting-type argument, we prove the existence of at least three or five solutions, depending on the interaction of the nonlinearity...

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Bibliographic Details
Main Authors:	Pablo Amster, Mariel Kuna
Format:	Article
Language:	English
Published:	University of Szeged 2017-05-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	second order odes radiation boundary conditions multiplicity of solutions variational method shooting method
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5260

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spelling	doaj-378066ac05c4435f92860929555c92352021-07-14T07:21:30ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-05-0120173711110.14232/ejqtde.2017.1.375260Multiple solutions for a second order equation with radiation boundary conditionsPablo Amster0Mariel Kuna1Universidad de Buenos Aires, Buenos Aires, ArgentinaUniversidad de Buenos Aires, Buenos Aires, ArgentinaA second order ordinary differential equation with a superlinear term is studied under radiation boundary conditions. Employing the variational method and an accurate shooting-type argument, we prove the existence of at least three or five solutions, depending on the interaction of the nonlinearity with the spectrum of the associated linear operator and the values of the radiation parameters.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5260second order odesradiation boundary conditionsmultiplicity of solutionsvariational methodshooting method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pablo Amster Mariel Kuna
spellingShingle	Pablo Amster Mariel Kuna Multiple solutions for a second order equation with radiation boundary conditions Electronic Journal of Qualitative Theory of Differential Equations second order odes radiation boundary conditions multiplicity of solutions variational method shooting method
author_facet	Pablo Amster Mariel Kuna
author_sort	Pablo Amster
title	Multiple solutions for a second order equation with radiation boundary conditions
title_short	Multiple solutions for a second order equation with radiation boundary conditions
title_full	Multiple solutions for a second order equation with radiation boundary conditions
title_fullStr	Multiple solutions for a second order equation with radiation boundary conditions
title_full_unstemmed	Multiple solutions for a second order equation with radiation boundary conditions
title_sort	multiple solutions for a second order equation with radiation boundary conditions
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2017-05-01
description	A second order ordinary differential equation with a superlinear term is studied under radiation boundary conditions. Employing the variational method and an accurate shooting-type argument, we prove the existence of at least three or five solutions, depending on the interaction of the nonlinearity with the spectrum of the associated linear operator and the values of the radiation parameters.
topic	second order odes radiation boundary conditions multiplicity of solutions variational method shooting method
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5260
work_keys_str_mv	AT pabloamster multiplesolutionsforasecondorderequationwithradiationboundaryconditions AT marielkuna multiplesolutionsforasecondorderequationwithradiationboundaryconditions
_version_	1721303449675497472

Multiple solutions for a second order equation with radiation boundary conditions

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