Geodesic
J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION
RASSIAS, MATINA J.1
1 Department of Statistics, University of Glasgow, Mathematics Building, Office No. 208, University Gardens, Glasgow G12 8QW, U.K
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 265-271.

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

In 1940 (and 1964) S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D. H. Hyers solved the Hyers-Ulam problem for linear mappings. In 1992 and 2008, J. M. Rassias introduced the Euler-Lagrange quadratic mappings and the JMRassias ''product-sum'' stability, respectively. In this paper we introduce an Euler-Lagrange type quadratic functional equation and investigate the JMRassias ''product-sum'' stability of this equation. The stability results have applications in Mathematical Statistics, Stochastic Analysis and Psychology.
DOI : 10.22436/jnsa.003.04.05
Classification : 39B, 26D
Keywords: J.M.Rassias ''product-sum'' stability, Euler-Lagrange type quadratic functional equation.

RASSIAS, MATINA J. 1

1 Department of Statistics, University of Glasgow, Mathematics Building, Office No. 208, University Gardens, Glasgow G12 8QW, U.K 
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RASSIAS, MATINA J. J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 265-271. doi : 10.22436/jnsa.003.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.04.05/

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[2] Gordji, M. E.; Zolfaghari, S.; Rassias, J. M.; Savadkouhi, M. B. Solution and Stability of a Mixed Type Cubic and Quartic functional equation in Quasi-Banach spaces, Abstract and Applied Analysis, Art. ID 417473, Doi: 10.1155/2009/417473. (2009), pp. 1-14

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[8] Savadkouhi, M. B.; Gordji, M. E.; Rassias, J. M.; Ghobadipour, N. Approximate ternary Jordan derivations on Banach ternary algebras, J. Math. Phys., Volume 50 (2009), pp. 1-9

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