J. M. RASSIAS PRODUCT-SUM STABILITY OF AN EULER-LAGRANGE FUNCTIONAL EQUATION
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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.
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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
- J.M.Rassias ''product-sum'' stability
- Euler-Lagrange type quadratic functional equation.
MSC
References
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[1]
M. Arunkumar, Hyers-Ulam-Rassias (HUR), Ulam-Gavruta-Rassias (UGR) and JMRassias (JMR) Stabilities of Various Functional Equations, PhD Thesis, Thiruvalluvar University, Vellore - 632 004 (2009)
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