TY - JOUR T1 - The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator JO - Journal of Partial Differential Equations VL - 3 SP - 223 EP - 239 PY - 2003 DA - 2003/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5421.html KW - Integrodifferential systems KW - convolution operator KW - existence and uniqueness KW - invariant regions AB - Some results on the invariant regions ,existence and uniqueness of solutions to a class of integrodifferential systems are established. Applying these results to integrodifferential systems with a small parameter ε > 0, we obtain,in particular, some estimates of solutions uniform in ε > 0.