In this paper, we solve the quadratic ρ-functional equations (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|, and (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|. Furthermore, we prove the Hyers-Ulam stability of the quadratic ρ-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.
|Number of pages||8|
|Journal||Journal of Computational Analysis and Applications|
|State||Published - 2018 Jan 1|
- Hyers-Ulam stability
- Non-Archimedean normed space
- Quadratic ρ-functional equation