Banach空间中具无限时滞泛函微分方程Cauchy问题解的存在性

Banach空间中具无限时滞泛函微分方程Cauchy问题解的存在性 EXISTENCE OF THE SOLUTIONS OF THE CAUCHY PROBLEM OF THE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN BANACH SPACES 邹应 Zou Ying 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 对方程右端为一致连续函数的Ｂａｎａｃｈ空间中具无限时滞的泛函微分方程，证明了用Ｋｕｒａｔｏｗｓｋｉ非紧测度不等式、纯量微分方程及积分不等式表述的Ｃａｕｃｈｙ问题局部解的三个存在性定理． This paper Study the Cauchy problem for the functional differential equations with infinite dealy in Banach spaces.where f is uniformely continuous. Under some compacteness type conditions on f in terms of measureof noncompoctness, we present tree existence theorems of the local solutions of the Cauchy problem. 泛函微分方程 Cauchy问题 解的存在性 functional differential equation Cauchy problem existence of solution O175.15 1994-01-01 2021-04-01 1