在本篇論文中,我們主要研究某類diffusively function-coupled週期性網格型微分方程行波解的存在性。根據參考文獻[14]的方法,我們證明當波速高於最小波速時,行波解是存在的。此外,我們探討此類行波解的一些特性。 In this thesis we investigate the existence of traveling wave solutions of some diffusively function-coupled periodic lattice differential equations. Following the ideas of [14], we show that if the wave speed is above the minimal wave speed, then traveling wave solution exists. Moreover, we discuss the properties of that traveling wave solution.