| Positive Solutions for a Second-Order Nonlinear Impulsive Singular Integro-Differential Equation with Integral Conditions in Banach Spaces |
| Received:December 28, 2010 Revised:April 18, 2011 |
| Key Words:
impulsive singular integro-differential equation positive solution M\"onch fixed point theorem measure of noncompactness.
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| Fund Project:Supported by the Foundation for Outstanding Middle-Aged and Young Scientists of Shandong Province (Grant No.BS2010SF004), a Project of Shandong Province Higher Educational Science and Technology Program (Grant No.\,J10LA53), the China Postdoctoral Science Foundation (Grant No.20110491154) and the National Natural Science Foundation of China (Grant No.10971179). |
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| Abstract: |
| The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point theory. Moreover, an application is also given to illustrate the main result. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.05.009 |
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