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Turkish Journal of Mathematics

Stability of an Euler-Lagrange type Cubic Functional Equation

Abbas NAJATI
Department of Mathematics,
University of Mohaghegh Ardabili,
Ardabil-IRAN
e-mail: a.nejati@yahoo.com
Fridoun MORADLOU
Faculty of Mathematical Sciences,
University of Tabriz,
Tabriz-IRAN
e-mail: moradlou@tabrizu.ac.ir

Abstract: In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x+my)+2f(mx-y)=(m3+m)[f(x+y)+f(x-y)]+2(m4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.

Key Words: Hyers-Ulam-Rassias stability, cubic functional equation

Turk. J. Math., 33, (2009), 65-73.
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Other articles published in the same issue: Turk. J. Math.,vol.33,iss.1.