A numerical processing for Cauchy problem multi-delay functionalis difference equation;

By establishing a new comparison principle,using the method of L-quasi-upper-lower solution and the mixed monotone iterative technique,the existence and uniqueness of solutions for Cauchy problems of first order nonlinear integro-differential equations in Banach spaces are obtained.

By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problems of first order nonlinear integrodifferential equations in Banach spaces are obtained.

Barycentric interpolation collocation method for solving initial value problems of differential equation;

Global solutions for initial value problems of ordinary differential equation in Banach spaces;

The solution and necessary and sufficient conditions for the existence and uniqueness of solution for initial value problems of general linear systemare studied in this paper.

Waveform relaxation of initial problem of nonlinear high-order differential equations;

In this paper,We first consider the initial problem of higher order non-homogeneous Linear equation with variable coefficients,and then give a general formula for solutions of this initial problem.

The Existence of viscosity solutions of initial problem is proved for second order parabolic equations under certain conditions.