STABILITY OF THE LOBACEVSKI EQUATION
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Authors
GWANG HUI KIM
- Department of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of Korea.
Abstract
The aim of this paper is to investigate the superstability of the
Lobacevski equation
\[f (\frac{x + y}{ 2})^2 = f(x)f(y),\]
which is bounded by the unknown functions \(\varphi(x)\) or \(\varphi(y)\). The obtained result
is a generalization of P. G·avruta's result in 1994.
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ISRP Style
GWANG HUI KIM, STABILITY OF THE LOBACEVSKI EQUATION, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 1, 11-18
AMA Style
KIM GWANG HUI, STABILITY OF THE LOBACEVSKI EQUATION. J. Nonlinear Sci. Appl. (2011); 4(1):11-18
Chicago/Turabian Style
KIM, GWANG HUI. "STABILITY OF THE LOBACEVSKI EQUATION." Journal of Nonlinear Sciences and Applications, 4, no. 1 (2011): 11-18
Keywords
- Hyers-Ulam-Rassias stability
- superstability
- Lobacevski equation
- d'Alembert functional equation
- sine functional equation.
MSC
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