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应用单调迭代法和上下解的方法讨论了广义非线性系统的极限值问题 ,给出了解存在性的构造性证明 ,所构造的逼近序列是线性系统的解 ,因此较易实现数值计算 .并且所得结果推广了非线性微分系统的结果 .
The monotone iterative method and the upper and lower solutions are used to discuss the limit problem of the generalized nonlinear system. The constructive proof of the existence of the solution is given. The approximation sequence constructed by this method is the solution of the linear system, so the numerical calculation is easier. The result generalizes the result of nonlinear differential system.