Geodesic
STABILITY OF THE LOBACEVSKI EQUATION
KIM, GWANG HUI1
1 Department of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 11-18.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.004.01.02
Classification : 39B82, 39B52
Keywords: Hyers-Ulam-Rassias stability, superstability, Lobacevski equation, d'Alembert functional equation, sine functional equation.

KIM, GWANG HUI 1

1 Department of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of Korea 
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KIM, GWANG HUI. STABILITY OF THE LOBACEVSKI EQUATION. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 11-18. doi : 10.22436/jnsa.004.01.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.01.02/

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