在本文中，我們以分歧理論的基礎—隱函數定理為基本工具，利用打靶法、割線預測法、牛頓迭代法和擬弧長延拓法等數值方法，對多參數非線性邊界值問題之解路徑做數值探討。探討在不同的參數變化下，對應的多重解路徑，並進行解析。

We use the implicit function theorem, shooting method, secant predictor method, Newton iterative method & pseudo-arclength continuation method to numerically investigate the solution path of a nonlinear boundary-valued problem with multiple parameters.We find a lot of multiple solutions occur under different parameters.

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