## Abstract and Applied Analysis

### An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay

#### Abstract

We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space $X$. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness. An example is presented.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 724854, 8 pages.

Dates
First available in Project Euclid: 18 April 2013

https://projecteuclid.org/euclid.aaa/1366306769

Digital Object Identifier
doi:10.1155/2013/724854

Mathematical Reviews number (MathSciNet)
MR3035196

Zentralblatt MATH identifier
1274.34223

#### Citation

Li, Fang; Wang, Huiwen. An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay. Abstr. Appl. Anal. 2013 (2013), Article ID 724854, 8 pages. doi:10.1155/2013/724854. https://projecteuclid.org/euclid.aaa/1366306769

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