c0-groups and c-groups on non-archimedean quasi-banach spaces

In this paper, we introduce and study c0-groups and c-groups of bounded linear operators on non-archimedean quasi-banach spaces over k. in particular, we show some results related to them. in contrast with the classical framework, the parameter of c0-groups and c-groups families of bounded linear operators belongs to a open ball ωr of a non-archimedean field k. as an illustration, we shall discuss the solvability of some homogeneous p-adic differential equations for c0-groups and c-groups. also, we provide some examples to illustrate our study.