Solution of Hyers-Ulam stability problem for generalized Pappus' equation

[摘要] The purpose of this paper is to solve the stability problem of Ulam for an approximate mapping f : X --> Y of the following generalized Pappus' equation: n(2) Q(X + my) + mn Q(x - ny) = (m + n) [n Q(x) + - Q(ny)] for all x, y epsilon X with X and Y linear spaces. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-01

[关键词] Hyers-Ulam stability;quadratic mapping;Pappus' equation