一类常微分方程和Volterra积分方程解的存在唯一性

Existence and Uniqueness of Solutions for Ordinary Differential Equations and Volterra Integral Equations

利用Banach压缩映射原理,研究了一类四阶常微分方程和Volterra积分方程解的存在性和唯一性,并且利用MATLAB讨论了此类方程的数值解.

The existence and uniqueness of solutions for the fourth-orderordinary differential equation and the Volterra integral equation are studied, by using Banach contracting mapping principle. The numerical solutions of these equations are discussed by MATLAB.