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On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation

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In this paper, we obtain the Hyers-Ulam-Rassias stability of a bi-Jensen functional equation

Abstract

In this paper, we obtain the Hyers-Ulam-Rassias stability of a bi-Jensen functional equation

참고문헌 (13)

  1. 배재형, "On the solution of a bi-Jensen functional equation and its stability", 대한수학회지, 43(3), pp.499~507 (2006), 대한수학회
  2. P. Găvruta, "generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. and Appl, 184, pp.431~436 (1994)
  3. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
  4. K. W. Jun, "On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation", Abstract Appl. Anal, ID 35151, pp.1~15 (2007)
  5. K. W. Jun, "On the Rassias stability a bi-Jensen functional equation", preprint
  6. S. M. Jung, "Hyers-Ulam stability of linear differential equations of first order", Jour Appl. Math. Lett, 17, pp.1135~1140 (2004)
  7. G. H. Kim, "On the stability of functional equations with square-symmetric operation", Jour Math. Inequal. Appl, 4, pp.257~266 (2001)
  8. H. M. Kim, "On the stability problem for a mixed type of quartic and quadratic functional equation", J. Math. Anal. Appl, 324, pp.358~372 (2006)
  9. Y. H. Lee, "On the stability of approximately additive mappings", Jour Proc. Amer. Math. Soc, 128, pp.1361~1369 (2000)
  10. C. G. Park, "Linear functional equations in Banach modules over a C-algebra", Acta Appl. Math, 77, pp.125~161 (2003)
  11. W. G. Park, "On a Cauchy-Jensen functional equation and its stability", J. Math. Anal. Appl, 323, pp.634~643 (2006)
  12. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  13. S. M. Ulam, "A Collection of Mathematical Problems", Interscience New York, pp.63~ (1968)

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