Variational methods to Sturm–Liouville boundary value problem for impulsive differential equations

In this paper, we study a linear Sturm–Liouville impulsive problem and a nonlinear Sturm–Liouville impulsive problem. By applying a new approach via critical point theory and variational methods, the existence results of positive solutions are obtained.

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Bibliographic Details
Published in:Nonlinear analysis Vol. 72; no. 1; pp. 277 - 287
Main Authors: Tian, Yu, Ge, Weigao
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 2010
Elsevier
Subjects:
Calculus of variations and optimal control
Critical point theory
Exact sciences and technology
Impulsive effects
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Ordinary differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
Sturm–Liouville boundary value problem
Variational methods
34B15
34B37
Impulsive effects
Critical point theory
Variational methods
58E30
Sturm–Liouville boundary value problem
34B18
Sturm Liouville problem
Differential equation
Nonlinear analysis
Impulsive equation
Critical point
Boundary value problem
Sturm-Liouville boundary value problem
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:In this paper, we study a linear Sturm–Liouville impulsive problem and a nonlinear Sturm–Liouville impulsive problem. By applying a new approach via critical point theory and variational methods, the existence results of positive solutions are obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.06.051