J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION


Authors

MATINA J. RASSIAS - Department of Statistics, University of Glasgow, Mathematics Building, Office No. 208, University Gardens, Glasgow G12 8QW, U.K.


Abstract

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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

MATINA J. RASSIAS, J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 4, 265-271

AMA Style

RASSIAS MATINA J., J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION. J. Nonlinear Sci. Appl. (2010); 3(4):265-271

Chicago/Turabian Style

RASSIAS, MATINA J.. " J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION." Journal of Nonlinear Sciences and Applications, 3, no. 4 (2010): 265-271


Keywords


MSC


References