非线性Volterra积分方程解强收敛和弱收敛的充要条件

A Necessary and Suffcient Condition for Strong and Weak Convergence of Solutions of Nonlinear Volterra Integral Equations in Banach Spaces

本文研究Ｂａｎａｃｈ空间中具完全正核的非线性Ｖｏｌｔｅｒｒａ积分方程解强收敛和弱收敛的充分必要条件，这里的定理推广了众多该方向的结果，例如［５，９－１０］等．

A necessary and sufficient condition is presented which ensures the strong corivergenceand the weak convergcnce of solutions of nonlinear Volterra integral equations。The con-clusion generalizes results proved in [5,9,10, etc]