,THE CAUCHY PROBLEM FOR A CLASS OF COUPLED SYSTEMS CONTAINING A CONVOLUTION OPERATOR

• 作 者: Yang Chengrong(杨成荣) Wu Zhuoqun(伍卓群)
• 机 构: Institute of Mathematics,Jilin University, Changchun 130012, China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2003年3期
• 关键词: Integrodifferential systems convolution operator existence and uniqueness invari

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 e ＞ 0, we obtain,in particular, some estimates of solutions uniform in ε＞ 0.