In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov fixed-point theorem are used. In addition to proving the existence of global solutions, estimates of their co-ordinates are derived as well. Linear variants of results are considered and the results are illustrated by selected examples.

中文翻译：

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混合型泛函微分方程的半全局和全局解的下估计和上估计

本文分析了混合型泛函微分方程的非线性系统，证明了半全局解和全局解的存在性。在证明中，使用了单调迭代技术和 Schauder-Tychonov 不动点定理。除了证明全局解的存在之外，还推导出了它们的坐标估计。考虑了结果的线性变体，并通过选定的示例说明了结果。