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 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。
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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