There are a lot of ways to write this. You haven't mentioned the context: What is the level of formality?, what comes before this? What comes after. Who is saying it? - You can avoid the subject in Chinese, it's a lot harder to do that in English.

“写”是什么意思？写斗争？是多打了一个字吗？ 如果忽略“写”，那我觉得可以说 Beginnings of the struggle: Northest China & LuGou Bridge

The beginning of war of Northeast China, lugou bridge

斗争

战争？斗争？