Abstract and Applied Analysis

Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

Yue-Wen Cheng and Hui-Sheng Ding

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Abstract

We investigate the asymptotic behavior of solutions to a linear Volterra integrodifferential system x i ( t ) = a i ( t ) + b i ( t ) x i ( t ) + j = 1 n 0 t K i j ( t , s ) x j ( s ) d s , t + , i = 1,2 , , n . We show that under some suitable conditions, there exists a solution for the above integrodifferential system, which is asymptotically equivalent to some given functions. Two examples are given to illustrate our theorem.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 245905, 5 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449726

Digital Object Identifier
doi:10.1155/2013/245905

Mathematical Reviews number (MathSciNet)
MR3121518

Zentralblatt MATH identifier
1293.45007

Citation

Cheng, Yue-Wen; Ding, Hui-Sheng. Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 245905, 5 pages. doi:10.1155/2013/245905. https://projecteuclid.org/euclid.aaa/1393449726


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