Banach空间n阶非线性积分-微分方程初值问题解的存在性

Existences of Solution of IVP n-th Order Nonlinear integro-differential Equations in Banach Spaces

用 Tonelli方法研究了 Banach空间中 n阶非线性积分 -微分方程初值问题 ,在非线性增长条件下 ,获得了初值问题解的存在性及其

In this paper,by means of tonelli method,the author investigates the IVP for n th nonlinear integro differential equation in Banach spaces,under the nonlinear growth condition,obtains the existence of solution and Tonelli iterative approximation of the solution.