ADVANCES IN DIFFERENCE EQUATIONS, v. 2020, no. 1, article no. 395
Abstract
First we investigate the Hyers-Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we study the Hyers-Ulam stability of the functional equation f(xy)=xg(y)+h(x)y for mappings from bounded (unbounded) intervals into multi-normed spaces.