Mikhail Il'ich Zelikin (Russian: Михаил Ильич Зеликин; born 11 February 1936) is a Russian mathematician, who works on differential equations (in particular, Riccati equations), optimal control theory, differential games (for instance, Princess and monster game), the theory of fields of extremals for multiple integrals, the geometry of Grassmannians. He proposed an explanation of ball lightning based on the hypothesis of plasma superconductivity.