Positive non-symmetric solutions of a non-linear boundary value problem

This paper deals with a non-linear second order ordinary differential equation with symmetric non-linear boundary conditions, where both of the non-linearities are of power type. It provides results concerning the existence and multiplicity of positive non-symmetric solutions for values of parameter...

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Main Author: Samuel Peres
Format: Article
Language:English
Published: University of Szeged 2013-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2619
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author Samuel Peres
author_facet Samuel Peres
author_sort Samuel Peres
collection DOAJ
description This paper deals with a non-linear second order ordinary differential equation with symmetric non-linear boundary conditions, where both of the non-linearities are of power type. It provides results concerning the existence and multiplicity of positive non-symmetric solutions for values of parameters not considered before. The main tool is the shooting method.
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spelling doaj.art-04f71f07418d4990a5bf89f3be9ef3db2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-11-0120136912410.14232/ejqtde.2013.1.692619Positive non-symmetric solutions of a non-linear boundary value problemSamuel Peres0Comenius University, Bratislava, SlovakiaThis paper deals with a non-linear second order ordinary differential equation with symmetric non-linear boundary conditions, where both of the non-linearities are of power type. It provides results concerning the existence and multiplicity of positive non-symmetric solutions for values of parameters not considered before. The main tool is the shooting method.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2619second order ordinary differential equationnon-linear boundary conditionexistence and multiplicity of solutionsshooting methodtime map
spellingShingle Samuel Peres
Positive non-symmetric solutions of a non-linear boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations
second order ordinary differential equation
non-linear boundary condition
existence and multiplicity of solutions
shooting method
time map
title Positive non-symmetric solutions of a non-linear boundary value problem
title_full Positive non-symmetric solutions of a non-linear boundary value problem
title_fullStr Positive non-symmetric solutions of a non-linear boundary value problem
title_full_unstemmed Positive non-symmetric solutions of a non-linear boundary value problem
title_short Positive non-symmetric solutions of a non-linear boundary value problem
title_sort positive non symmetric solutions of a non linear boundary value problem
topic second order ordinary differential equation
non-linear boundary condition
existence and multiplicity of solutions
shooting method
time map
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2619
work_keys_str_mv AT samuelperes positivenonsymmetricsolutionsofanonlinearboundaryvalueproblem