Stability of the Pexiderized Lobacevski Equation

[摘要] The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equationf((x+y)/2)2=g(x)h(y), wheref,g,h : G2→ℂare unknown functions on an Abelian semigroup(G,+). The obtained result is a generalization of Gǎvruţa's result in 1994 and Kim's result in 2010.

[学科分类] 应用数学