Eigenvalue criteria for existence of positive solutions of impulsive differential equations with non-separated boundary conditions

In this paper, we discuss the existence of positive solutions for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value conditions. Our criteria for the existence of positive solutions will be expressed in terms of the first eigenvalu...

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Bibliographic Details
Published in:Boundary value problems 2013-01, Vol.2013 (1), p.1-11, Article 3
Main Authors: Liang, Ruixi, Shen, Jianhua
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary conditions
Boundary value problems
Criteria
Difference and Functional Equations
Differential equations
Eigenvalues
Jean Mawhin's Achievements in Nonlinear Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
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Summary:In this paper, we discuss the existence of positive solutions for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value conditions. Our criteria for the existence of positive solutions will be expressed in terms of the first eigenvalue of the corresponding nonimpulsive problem. The main tool of study is a fixed point theorem in a cone. MSC: 34B37, 34B18.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/1687-2770-2013-3