Patronimic name is not a family name, this is a derivative form from the farther's first name and placed after the person's first name:

John Jamesovich Doe
Mary Jamesovna Roe

This is not specific for Russia / Ukraine only, AFAIK Lithuinians and Turks have similar concepts:

Iolanta Jameso Doekaite
Guzel James-kyzy Roe