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INTERNATIONAL

PUBLICATIONS (USA)

PanAmerican Mathematical Journal

Volume 20(2010), Number 4, 15–30

Solution and Generalized Hyers-Ulam Stability

of a 2-variable Cubic Functional Equation

K. Ravi Sacred Heart College Department of Mathematics Tirupattur-635 601, Tamil Nadu, India

[email protected]

B.V. Senthil Kumar

C. Abdul Hakeem College of Engg. & Tech. Department of Mathematics

Melvisharam - 632 509, Tamil Nadu, India [email protected]

E. Thandapani University of Madras

Ramanujan Institute of Advance Study in Mathematics Chepauk, Chennai-600 005, Tamil Nadu, India

[email protected]

Sandra Pinelas Departamento de Matematica Universidade dos Acores, Portugal

[email protected]

Communicated by Ravi P. Agarwal

(Received October 25, 2010; Accepted December 5, 2010)

Abstract

In this paper, the authors investigate the general solution and the gen-eralized Hyers-Ulam stability of a 2-variable cubic functional equation of the form

f(2x+y,2u+v)+f(2x−y,2u−v) = 2f(x+y, u+v)+2f(x−y, u−v)+12f(x, u).

Referências

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