C_{۰}-Groups and C-Groups on Non-Archimedean Quasi-Banach Spaces

In this paper, we introduce and study  C_{۰}-groups and C-groups of bounded linear operators on non-Archimedean quasi-Banach spaces over \mathbb{K}. In particular,  we show some results related to them. In contrast with the classical framework, the parameter of C_{۰}-groups and C-groups families of bounded linear operators belongs to a open ball \Omega_{r} of a non-Archimedean field \mathbb{K}. As an illustration, we shall discuss the solvability of some homogeneous p-adic differential equations for C_{۰}-groups and C-groups. Also, we provide some examples to illustrate our study.

کلیدواژه ها:

Non-Archimedean quasi-Banah spaces ، C_{۰}-groups of operators ، Groups of contractions ، C-groups