Two parameter C_0-semigroups of linear operators on locally convex spaces

The purpose of this paper is to study two parameter (resp. n-parameter) exponentially equicontinuous C_0-semigroups of continuous linear operators on sequentially complete locally convex Hausdorff spaces. In particular, we demonstrate the Hille–Yosida theorem for two parameter (resp. n-parameter) exponentially equicontinuous C_0-semigroups of continuous linear operators on sequentially complete locally convex Hausdorff spaces. Moreover, the n-parameter C_0-semigroups of continuous linear operators on Banach spaces are studied.