Hi
I don't believe SAP support such function to assign asset to many company codes .. Asset value and existence is reflecting legal views which is mainly uses in financial analysis and as loans guarantee ..
As alternative solution you may assign the deprecation to different company codes that could represent the assets utilization in different company code but the asset value stay in the company which the asset purchasing document is related to..
Open T-code AS02
choose Time dependent tab.. choose More intervals and add interval which the asset has been used for another company code .. i think the minimum interval that he can calculate the deprecation for different cost center is one month..
before start you have to activate cross company code cost center .. as below screen shot.
Regards
Mahmoud EL Nady