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Journal of Function Spaces
Volume 2014 (2014), Article ID 720494, 12 pages
Research Article

Eigenvalues of a Class of Singular Boundary Value Problems of Impulsive Differential Equations in Banach Spaces

School of Mathematical Sciences, Shandong Normal University, Ji'nan, Shandong 250014, China

Received 26 May 2013; Accepted 28 October 2013; Published 23 February 2014

Academic Editor: Gestur Ólafsson

Copyright © 2014 Daliang Zhao and Yansheng Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is devoted to investigating the eigenvalue problems of a class of nonlinear impulsive singular boundary value problem in Banach spaces: ; where denotes the zero element of Banach space, , , , is a parameter, and may be singular at and . The arguments are mainly based upon the theory of fixed point index, measure of noncompactness, and the special cone, which is constructed to overcome the singularity.