On the stability of the monomial functional equation

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참고문헌 (27)

1. L. C˘adariu, "The fixed points method for the stability of some functional equations", Carpathian J. Math, 23(1), pp.63~72 (2007)
2. P. W. Cholewa, "Remarks on the stability of functional equations", Aequationes Math, 27(1), pp.76~86 (1984)
3. S. Czerwik, "Functional Equations and Inequalities in Several Variables" (2002), World Scientific Publishing Co., Inc.
4. S. Czerwik, "On the stability of the quadratic mapping in normed spaces", Abh. Math. Sem. Univ. Hamburg, 62, pp.59~64 (1992)
5. Z. Gajda, "On stability of additive mappings", Internat. J. Math. Math. Sci, 14(3), pp.431~434 (1991)
6. P. G˘avruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184(3), pp.431~436 (1994)
7. D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci. U. S. A, 27, pp.222~224 (1941)
8. D. H. Hyers, "Stability of functional equations in several variables, Progress in Nonlinear Differential Equations and their Applications, 34" (1998), Birkhauser Boston, Inc.
9. D. H. Hyers, "Approximate homomorphisms", Aequationes Math, 44(2), pp.125~153 (1992)
10. K.-W. Jun, "On the Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality", Math. Inequal. Appl, 4(1), pp.93~118 (2001)
11. S.-M. Jung, "Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis" (2001), Hadronic Press, Inc.
12. S.-M. Jung, "On the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 204(1), pp.221~226 (1996)
13. H.-M. Kim, "On the stability problem for a mixed type of quartic and quadratic functional equation", J. Math. Anal. Appl, 324(1), pp.358~372 (2006)
14. Y.-H. Lee, "On the stability of approximately additive mappings", Proc. Amer. Math. Soc, 128(5), pp.1361~1369 (2000)
15. J. M. Rassias, "Solution of the Ulam stability problem for cubic mappings", Glas. Mat. Ser. III, 36(1), pp.63~72 (2001)
16. J. M. Rassias, "Solution of the Ulam stability problem for quartic mappings", Glas. Mat. Ser. III, 34(2), pp.243~252 (1999)
17. Th. M. Rassias, "On a modified Hyers-Ulam sequence", J. Math. Anal. Appl, 158(1), pp.106~113 (1991)
18. Th. M. Rassias, "On the stability of functional equations and a problem of Ulam", Acta Appl. Math, 62(1), pp.23~30 (2000)
19. Th. M. Rassias, "On the stability of functional equations in Banach spaces", J. Math. Anal. Appl, 251(1), pp.264~284 (2000)
20. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72(2), pp.297~300 (1978)
21. Th. M. Rassias, "Report of the 27th International Symposium on Functional Equations", Aeq. Math, 39, pp.292~293 (1990)
22. Th. M. Rassias, "The problem of S. M. Ulam for approximately multiplicative mappings", J. Math. Anal. Appl, 246(2), pp.352~378 (2000)
23. Th. M. Rassias, "On the behavior of mappings which do not satisfy Hyers-Ulam stability", Proc. Amer. Math. Soc, 114(4), pp.989~993 (1992)
24. Th. M. Rassias, "Functional Equations and Inequalities, Mathematics and its Applications, 518" (2000), Kluwer Academic Publishers
25. Th. M. Rassias, "Functional Equations, Inequalities and Applications" (2003), Kluwer Academic Publishers
26. F. Skof, "Local properties and approximation of operators", Rend. Sem. Mat. Fis. Milano, 53, pp.113~129 (1983)
27. S. M. Ulam, "A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no. 8" (1960), Interscience Publishers

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