Notes on the superstability of d'Alembert type functional equations

키워드

참고문헌 (11)

1. R. Badora, "On some trigonometric functional inequalities, Functional equations—results and advances", Adv. Math. (Dordr.), 3, pp.3~15 (2002), Kluwer Acad. Publ
2. J. A. Baker, "The stability of the cosine equation", Proc. Amer. Math. Soc., 80(3), pp.411~416 (1980)
3. J. Baker, "The stability of the equation f(x+y) = f(x)f(y)", Proc. Amer. Math. Soc., 74(2), pp.242~246 (1979)
4. J. D’Alembert, "M´emoire sur les principes de la m´ecanique", Hist. Acad. Sci., 278~286
5. D. H. Hyers, "Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and their Applications", pp.34~ (1998), Birkhauser Boston, Inc
6. S.-M. Jung, "On an asymptotic behavior of exponential functional equation", Acta Math. Sin. (Engl. Ser.), 22(2), pp.583~586 (2006)
7. Pl. Kannappan, "The functional equation f(xy)+f(xy−1) = 2f(x)f(y) for groups", Proc. Amer. Math. Soc., 19(1), pp.69~74 (1968)
8. Pl. Kannappan, "On the stability of the generalized cosine functional equations", Paedagogicae Cracoviensis–Studia Mathematica, 1, pp.49~58 (2001)
9. G. H. Kim, "The stability of d’Alembert and Jensen type functional equations", J. Math. Anal. Appl, 325(1), pp.237~248 (2007)
10. A. Redouani, "The superstability of d’Alembert’s functional equation on step 2 nilpotent groups", Aequationes Math, 74(3), pp.226~241 (2007)
11. Th. M. Rassias, "On the stability of functional equations and a problem of Ulam", Acta Appl. Math., 62(1), pp.23~130 (2000)

관련 논문AI추천