Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

Yue-Wen Cheng, Hui-Sheng Ding
2013 Abstract and Applied Analysis  
We investigate the asymptotic behavior of solutions to a linear Volterra integrodifferential system ( ) = ( ) + ( ) ( ) + ∑ =1 ∫ 0 ( , ) ( ) , ∈ R + , = 1, 2, . . . , . 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.
doi:10.1155/2013/245905 fatcat:w7dhjpuoxbci5kc4dai2ox7rli