Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

الملخص 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.