Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

作者：Cheng, Yue-Wen; Ding, Hui-Sheng^*

来源：Abstract and Applied Analysis, 2013, 2013: 245905.

DOI：10.1155/2013/245905

• DIFFERENCE-EQUATIONS
• PERIODIC-SOLUTIONS
• EXISTENCE

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) + Sigma(n)(j=1) integral(t)(0) K-ij(t, s)x(j)(s)ds, t is an element of 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.

• 出版日期2013
• 单位江西师范大学