Stability of the Pexiderized Lobacevski Equation

Gwang Hui Kim

Journal of Applied Mathematics, 2011, vol. 2011, 1-10

Abstract:

The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equation f ( ( x + y ) / 2 ) 2 = g ( x ) h ( y ) , where f , g , h : G 2 → ℂ are 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:540274

DOI: 10.1155/2011/540274

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