Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

Joint Authors

Cheng, Yue-Wen
Ding, Hui-Sheng

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-10-28

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

We investigate the asymptotic behavior of solutions to a linear Volterra integrodifferential system xi′(t)=ai(t)+bi(t)xi(t)+∑j=1n∫0tKij(t,s)xj(s)ds,t∈ℝ+, 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.

American Psychological Association (APA)

Cheng, Yue-Wen& Ding, Hui-Sheng. 2013. Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-456954

Modern Language Association (MLA)

Cheng, Yue-Wen& Ding, Hui-Sheng. Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-456954

American Medical Association (AMA)

Cheng, Yue-Wen& Ding, Hui-Sheng. Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-456954

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-456954