GENERALIZED HYERS - ULAM STABILITY OF A TWO VARIABLE QUARTIC FUNCTIONAL EQUATION

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Published: 2016-03-22

Page: 227-236


K. RAVI *

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

A. EDWIN RAJ

Department of Mathematics, MVJ College of Engineering, Channasandra, Bangalore-560067, Karnataka, India

*Author to whom correspondence should be addressed.


Abstract

In this paper, we study solutions of the 2-variable quartic functional equation g(2x + y, 2u + v) + g(2x − y, 2u − v) = 4g(x +y, u + v) + 4g(x − yu − v) + 24g(xu) − 6g(y, v) which has the quartic form of f(x, y) = ax4 + bx3y + cx2y2 + dxy3 + ey4 as a solution. Also the generalized Hyers-Ulam stability of this equation is investigated.

Keywords: 2-variable quartic functional equation;, Ulam-Hyers stability;, Hyers-Ulam-Rassias stability.


How to Cite

RAVI, K., & RAJ, A. E. (2016). GENERALIZED HYERS - ULAM STABILITY OF A TWO VARIABLE QUARTIC FUNCTIONAL EQUATION. Asian Journal of Mathematics and Computer Research, 11(3), 227–236. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/479

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