We give an elementary proof of a Landesman-Lazer type result for systems by means of a shooting argument and explore its connection with the fundamental theorem of algebra.

中文翻译：

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关于Landesman-Lazer条件和代数的基本定理

我们通过射击论证给出系统的Landesman-Lazer型结果的基本证明，并探索其与代数基本定理的联系。