对于初值问题，采用上下解的单调迭代方法求解。
Upper lower solutions method and monotone iterative technique are applied to initial value problem.
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。
Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results.
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。
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.
第一章介绍了这类非线性扩散方程的物理背景以及单调迭代法的大致过程。
In Chapter 1, we introduce the physics background of this class of nonlinear diffusion equation and generalize the monotone iteration.
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。
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。
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.
本文主要运用一种具有全局收敛性的单调迭代法求解了一类非线性扩散方程的数值解。
This paper mainly studies the numerical solution of a class of nonlinear diffusion equations using a monotone iteration method with the global convergence.
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。
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.
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。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
方法采用上下解的方法、单调迭代法、比较原理、极值原理以及特征值理论进行了研究。
Methods the upper-lower solutions, monotone derivative methods, the maximum principle, comparison principle and principal eigenvalue theory were used.
对一类两点边值问题给出了对称正解的两种单调迭代格式，主要工具是单调算子迭代技巧。
The two iterative schemes of symmetric positive solution are studied for a two-point boundary value problem by the help of monotonic 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。
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.
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。
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.
本文指出，在矩阵迭代法的迭代过程中，特征值近似值序列是单调收敛的，并给出计算实例。
This paper indicated that the sequence of approximate value of eigenvalue is monotone convergent in the iteration process of matrix iteration method. And also gave examples.
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.
算法采用使操作臂末端点与目标点间距离单调减小的控制策略，并推导出了相应的非迭代公式。
It USES the control strategy in which the distance between the manipulator end and the target could be decreased monotonously, and the corresponding non iterative formula is deducted.
该算法具有快速收敛及保证每步迭代模型的似然概率单调增的优点。
Its strength lies in fast convergence and monotonous improvement of the likelihood probability.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
利用牛顿方向和中心路径方向，获得了求解单调线性互补问题的一种内点算法，并证明该算法经过多项式次迭代之后收敛到原问题的一个最优解。
By using Newton direction and centering direction, we establish a feasible interior point algorithm for monotone linear complementarity problem and show that this method is polynomial in complexity.
仿真结果表明采用给出的最优设计具有更好的迭代学习单调收敛性能。
Simulation results show that better monotonic convergence performance is achieved by using the…
在每步迭代计算中，新方法提出了易于计算的子问题，该子问题由强单调的线性变分不等式和良态的非线性方程系统构成。
At each iteration, the proposed subproblem consists of a strongly monotonic linear variational inequality and a well-conditioned system of nonlinear equations, which is easily to be solved.
本文给出一类非单调线性搜索下的修正prp算法，该方法保证每次迭代中的搜索方向是充分下降的。
In this paper a modified PRP method with nonmonotone line search is proposed, which can guarantee that the search direction is a sufficient descent direction per iteration.
本文给出一类非单调线性搜索下的修正prp算法，该方法保证每次迭代中的搜索方向是充分下降的。
In this paper a modified PRP method with nonmonotone line search is proposed, which can guarantee that the search direction is a sufficient descent direction per iteration.
应用推荐