Generalized Stability of Euler-Lagrange Quadratic Functional Equation

作者:Kim Hark Mahn; Kim Min Young*
来源:Abstract and Applied Analysis, 2012, 219435.
DOI:10.1155/2012/219435

摘要

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax + by) + af(x - by) = (a + 1)b(2) f(y) + a (a + 1) f(x), in (beta,p)-Banach space, where a, b are fixed rational numbers such that a not equal - 1,0 and b not equal 0.

  • 出版日期2012