Upper lower solutions method and monotone iterative technique are applied to initial value problem.
对于初值问题，采用上下解的单调迭代方法求解。
Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results.
方法应用单调迭代技术结合上下解方法讨论最大解与最小解的存在性。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
The method of upper and lower solutions, coupled with the monotone iterative technique is a powerful tool for proving the existence of solutions of nonlinear systems.
单调迭代法与上、下解结合是证明非线性系统解的存在性的强有力的工具。
To solve the nonlinear finite difference scheme, an accelerated monotone iterative method is presented, and the explicit estimate for the rate of convergence is given.
为了求解非线性差分格式，本文建立一种加速单调迭代算法，并给出精确的收敛率估计。
We obtain the existence of extremal solutions of the boundary value problem by using the method of lower and upper solutions coupled with monotone iterative technique.
研究一类四阶微分方程解的存在性，利用上下解及单调迭代的方法，得出这类四阶方程的最大解和最小解的存在。
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.
构造了一对合适的上下解，利用单调迭代方法证明了模型的两个平衡点之间行波解的存在性，进一步丰富了单调方法的内容。
The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.
利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。
By making use of monotone iterative technique, the iterative scheme and existence theorem of positive solution are established for a nonlinear second-order boundary value system.
利用单调迭代方法对一个非线性二阶边值系统建立了正解的迭代格式和存在性定理。
The numerical results demonstrate the advantages of the method, including the monotone convergence property of iterative sequences and the high accuracy of the method.
数值结果显示了该方法的优越性，包括迭代序列的单调收敛性及有限差分解的高精度。
The numerical results demonstrate the advantages of the method, including the monotone convergence property of iterative sequences and the high accuracy of the method.
数值结果显示了该方法的优越性，包括迭代序列的单调收敛性及有限差分解的高精度。
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