Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions

We study the uniqueness of positive solutions of the boundary-value problem $$displaylines{ u''+a(t)u'+f(t,u)=0 ,quad tin (0,b)cr u(0)=0,u(b)=0,, }$$ where 0 less than $b$ less than $infty$, $ain C^1[0,infty)$ and $fin C^1([0,infty)imes [0, infty), [0, infty))$ satisfy suitable cond...

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Bibliographic Details
Main Authors:	Yulian An, Ruyun Ma
Format:	Article
Language:	English
Published:	Texas State University 2004-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	Boundary value problem positive solutions uniqueness shooting method Sturm comparison theorem.
Online Access:	http://ejde.math.txstate.edu/Volumes/2004/142/abstr.html

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spelling	doaj-e6bd6507fdcf4735ab53c6eb5ae73b852020-11-24T21:51:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-11-01200414219Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditionsYulian AnRuyun MaWe study the uniqueness of positive solutions of the boundary-value problem $$displaylines{ u''+a(t)u'+f(t,u)=0 ,quad tin (0,b)cr u(0)=0,u(b)=0,, }$$ where 0 less than $b$ less than $infty$, $ain C^1[0,infty)$ and $fin C^1([0,infty)imes [0, infty), [0, infty))$ satisfy suitable conditions. The proof of our main result is based on the shooting method and the Sturm comparison theorem.http://ejde.math.txstate.edu/Volumes/2004/142/abstr.htmlBoundary value problempositive solutionsuniquenessshooting methodSturm comparison theorem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yulian An Ruyun Ma
spellingShingle	Yulian An Ruyun Ma Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions Electronic Journal of Differential Equations Boundary value problem positive solutions uniqueness shooting method Sturm comparison theorem.
author_facet	Yulian An Ruyun Ma
author_sort	Yulian An
title	Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
title_short	Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
title_full	Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
title_fullStr	Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
title_full_unstemmed	Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
title_sort	uniqueness of positive solutions for a class of ode's with dirichlet boundary conditions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2004-11-01
description	We study the uniqueness of positive solutions of the boundary-value problem $$displaylines{ u''+a(t)u'+f(t,u)=0 ,quad tin (0,b)cr u(0)=0,u(b)=0,, }$$ where 0 less than $b$ less than $infty$, $ain C^1[0,infty)$ and $fin C^1([0,infty)imes [0, infty), [0, infty))$ satisfy suitable conditions. The proof of our main result is based on the shooting method and the Sturm comparison theorem.
topic	Boundary value problem positive solutions uniqueness shooting method Sturm comparison theorem.
url	http://ejde.math.txstate.edu/Volumes/2004/142/abstr.html
work_keys_str_mv	AT yulianan uniquenessofpositivesolutionsforaclassofodeswithdirichletboundaryconditions AT ruyunma uniquenessofpositivesolutionsforaclassofodeswithdirichletboundaryconditions
_version_	1725881132418859008

Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions

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