FUNCTIONAL EQUATION
Keywords:
FUNCTIONAL EQUATION, Lobaceveskkii, mathematicsAbstract
The functional equations form a modern branch of mathematics. The origin of functional equations came about the same time as the modern definition of function. During 1747 to 1750, J. d’Alembert published three papers. These three papers were the first on functional equations. Many celebrated mathematicians including S. M. Ulam, Th. M. Rassias, A.L. Cauchy, T. Aoki, F. Skof, D. H. Hyers, J. Bolyai, J. d’Alembert, L. Euler, C. F. Gauss, M. Fr´echet, J.L. Jensen A. N. Kolmogorov, N. I. Lobaceveskkii, J. V. Pexider, S.D. Poisson have studied functional equations because of their apparent simplicity and harmonic nature. In this paper, we investigate the term functional equation and give examples of functional equation.
References
D’ Almbert in the paper J. d’ Almbert, Memoire sui les principles de mecanique, Hist. Acad. Sci. Paus, 278-286 (1769).
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