First,we constructed a pair of appropriate upper and lower solutions,and then we proved the existence of the traveling wave solutions between two equilibria of the system by using the monotone iteration approach.

This paper is devoted to investigate a kind of lattice Nicholson s blowflies model with delay,and prove the existence of traveling wavefronts by upper-lower solution and monotone iteration technique.

It is shown that the system exist monotone traveling wave solutions by using monotone iteration with upper and lower solutions provided wave speed satisfies some conditions.

The method of upper and lower solutions and the monotone iterative technique are used.

By using cone theorem and monotone iterative method, the mixed monotone condition in A(x,y)+Mx in Banach spaces is extended.

It obtains the existence results by using the monotone iterative method of lower and upper solutions and improves the results.

In this paper,the monotone iterative technique for periodic boundary value problems with causal operators is developed.

The existence of solutions and coupled minimal and maximal quasi-solutions of nonlinear Volterra impulsive integral equations in ordered Banach spaces is given by monotone iterative technique under G(t,s,x) and I_k(k=1,2,…,m) without monotone conditions.

Under the compact type condition,a comparision theorem and monotone iterative techniques are founded on ,+∞) by using the theory of noncompactness measure and upper and lower solutions method,three existence results of global solutions are obtained for a initial value problem of ordinary differential equation in Banach spaces.

The existence and uniqueness of solution and maximum principle about linear first order integrodifferential equation are given,then,using it,the monotone iterative method for PBVP of first order integrodifferential equations is discussed.

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method.

A new maximum principle and monotone iterative method of lower and upper solutions are employed to establish existence result for the third-order boundary value problem-u″′(t)=f(t,u(t)),t∈,u(0)=u\'(0)=u(1)=0.

In this paper,the external problems of nonlinear singular systems are discussed by using monotone iterative technique and the method of upper and lower solutions.

This paper uses the monotone iterative technique to investigate the existence of the solutions of a class of boundary value problem for third-order differential equation.

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

Studies a boundary value problem of reaction-diffusion equation with volterra type nonlinear boundary condition,and establishes monotone iterative method for existence and uniqueness of solution.

We show that for quasi-linear singularly perturbed problems the monotone iterative method is globally convergent.

Splitting one-step monotone iterative methods are generalized to splitting multi-step monotone iterative methods.