Nontrivial Solutions for an Impulsive Differential Equation with Non-separated Boundary Conditions

In this paper we shall discuss the existence of non-trivial solutions for an impulsive differential equation subject to non-separated boundary conditions. Our criteria for the existence theorems will be expressed in terms of the first eigenvalue of the corresponding non-impulsive problem. The main t...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 12; no. 3; pp. 717 - 727
Main Authors Zhang, Keyu, Xu, Jiafa
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.07.2015
Subjects
Mathematics
Mathematics and Statistics
Impulsive differential equation
34B15
34B37
55M25
non-separated boundary condition
nontrivial solution
Topological degree
34B18
55M20
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Summary:In this paper we shall discuss the existence of non-trivial solutions for an impulsive differential equation subject to non-separated boundary conditions. Our criteria for the existence theorems will be expressed in terms of the first eigenvalue of the corresponding non-impulsive problem. The main tool here is topological degree theory.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-014-0433-y