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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Podrobná bibliografie
Vydáno v:	Nonlinear analysis Ročník 72; číslo 1; s. 277 - 287
Hlavní autoři:	Tian, Yu, Ge, Weigao
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Ltd 2010 Elsevier
Témata:	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
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Popis
Shrnutí:	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.
Bibliografie:	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