β－导数在抽象积－微分方程逆问题中的应用

THE APPLICATON OF β-DERIVATIVE TO THE IDENTIFICATION PROBLEMS FOR INTEGRO-DIFFERENTIAL EQUATIONS

本文首先引进了抽象函数的β－导数这一薪的工具，然后利用它研究抽象积－微分方程的逆问题。在非常弱的条件下证明了其解的局部存在唯一性。

In this paper we introduce a new tool,“β-derivative of abstract functions”,and use itto investigate the identification problems for abstract integro-differential equations. Thelocal existence and uniquence of solutions of this problems are proven under very weakhypotheses.