摘要
ＣＡＵＣＨＹＰＲＯＢＬＥＭＦＯＲＡＮＯＮＬＩＮＥＡＲＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬ－ＤＩＦＦＥＲＥＮＴＩＡＬＥＶＯＬＵＴＩＯＮＳＹＳＴＥＭ￥ＺＨＡＮＧＬＩＮＧＨＡＩ（Ｉｎｓｔ．ｏｆＡｐｐｌ．Ｐｈｙｓ．ａｎｄＣｏｍｐ．Ｍａｔｈ．，Ｂｅｉｊｉｎｇ１００...
We study the Cauchy problem for a nonlinear evolution system with singularintegral differential terms.By means of some a priori estimates of the solution and theLeray-Schauder's fixed point theorem, we prove the existence and the uniqueness theoremsof the generalized global solution of the mentioned problem.
