Using the method of upper lower solutions we construct two monotone sequences for the finite difference equations.
把上下解方法应用到相应有限差分系统上，得到两个迭代序列。
The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions.
研究了一类纯量形式非线性积分微分方程周期边值问题，利用上下解法证明了解的存在性。
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。
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。
The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.
第二章用上下解的方法来研究耦合半线性抛物方程组的动力学行为，给出了解的渐近行为。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
In this paper we discussed the existence and uniqueness theorems for third-order boundary value problems, using the method of upper and lower solutions.
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
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。
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。
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。
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