Variational Method to the Impulsive Equation with Neumann Boundary Conditions

<p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at...

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Main Authors:	Sun Juntao, Chen Haibo
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Boundary Value Problems
Online Access:	http://www.boundaryvalueproblems.com/content/2009/316812

id	doaj-9afeaf1587724e739bd5177fb467c64f
record_format	Article
spelling	doaj-9afeaf1587724e739bd5177fb467c64f2020-11-25T00:05:19ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091316812Variational Method to the Impulsive Equation with Neumann Boundary ConditionsSun JuntaoChen Haibo<p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.</p>http://www.boundaryvalueproblems.com/content/2009/316812
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sun Juntao Chen Haibo
spellingShingle	Sun Juntao Chen Haibo Variational Method to the Impulsive Equation with Neumann Boundary Conditions Boundary Value Problems
author_facet	Sun Juntao Chen Haibo
author_sort	Sun Juntao
title	Variational Method to the Impulsive Equation with Neumann Boundary Conditions
title_short	Variational Method to the Impulsive Equation with Neumann Boundary Conditions
title_full	Variational Method to the Impulsive Equation with Neumann Boundary Conditions
title_fullStr	Variational Method to the Impulsive Equation with Neumann Boundary Conditions
title_full_unstemmed	Variational Method to the Impulsive Equation with Neumann Boundary Conditions
title_sort	variational method to the impulsive equation with neumann boundary conditions
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2762 1687-2770
publishDate	2009-01-01
description	<p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.</p>
url	http://www.boundaryvalueproblems.com/content/2009/316812
work_keys_str_mv	AT sunjuntao variationalmethodtotheimpulsiveequationwithneumannboundaryconditions AT chenhaibo variationalmethodtotheimpulsiveequationwithneumannboundaryconditions
_version_	1725425681965252608

Variational Method to the Impulsive Equation with Neumann Boundary Conditions

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