一类非线性非自治抽象泛函微分方程

EXISTENCE OF GENERALIZED SOLUTION FOR NONLINEAR NONAUTONOMOUS Abstract FUNCFIONAL DIFFERENTIAL EGUATIONS

文章通过对乘积空间Ｘ×Ｌ１上的一个极大增生算子及由其生成的非线性发展算子的研究，得到了Ｂａｎａｃｈ空间Ｘ上的非线性非自治泛函微分方程的Ｃａｕｃｈｙ问题的解的存在唯一性及其表示。扩展了文［１］的结果到非自治情形。

In the paper, We study a maximal accretive operator and its generated nonlinear evolufion operator in product space XXL￣1,and prove the existence and unigueness of solufion for the Cauchy problem of nonlinear nonautonomous funcfional differential eguations in Banach space.