Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

STABILITY OF A FUNCTIONAL EQUATION OBTAINED BY COMBINING TWO FUNCTIONAL EQUATIONS

  • 발행 : 2004.01.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we investigate the Hyers-Ulam stability and the super-stability of the functional equation f(x＋y＋rxy) = f(x)＋f(y)＋rxf(y)＋ryf(x) which is obtained by combining the additive Cauchy functional equation and the derivation functional equation.

키워드

참고문헌

  1. J. Math. Anal. Appl. v.184 A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings P. Gavruta
  2. Proc. Nat. Acad. Sci. v.27 On the stability of the linear functional equation D. H. Hyers
  3. Stability of functional equations in several variables D. H. Hyers;G. Isac;Th. M. Rassias
  4. J. Appl. Math. & Computing v.10 no.1-2 Stability of a Jensen functional equation with three variables E. H. Lee;Y. W. Lee;S. H. Park
  5. Aequationes Math. v.126 On the asymptoticity aspect of Hyers-Ulam stability of mappings D. H. Hyers;G. Isac;Th. M. Rassias
  6. Korean J. Comput. & Appl. Math. v.9 no.1 Stability of a quadratic Jensen type functional equation S. H. Lee
  7. Aequationes Math. v.53 Problems 18, In Report on the 34th ISFE Gy. Maksa
  8. Acta Math. Acad. Paed. Nyhazi. v.17 Hyperstability of a class of linear functional equations Gy. Maksa;Zs. Pales
  9. Aequationes Math. v.53 Remark 27, In Report on the 34th ISFE Zs. Pales
  10. J. Appl. Math. & Computing(Old KJCAM) v.8 no.2 Hyers-Ulam stability of homogeneous functional equations K. -H. park;G. H. Kim;Y. W. Lee;C. -H. Choi
  11. J. Appl. Math. & Computing(Old KJCAM) v.8 no.2 Local stability of Cauchy functional equation K. -H. Park;Y. W. Lee;K. S. Ji
  12. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassias
  13. Acta Appl. Math. v.62 On the stability of functional equations and a problem of Ulam Th. M. Rassias
  14. Functional equations and inequalities Th. M. Rassias
  15. Rend. Sem. Mat. Fis. Milano v.53 Proprieta locali e approssimazione di opertori F. Skof
  16. Aequationes Math. v.53 Remarks 20, In Report on the 34th ISFE J. Tabor
  17. Publ. Math. Debrecen v.51 Stability of the Cauchy functional equation with variable bound J. Tabor
  18. Problems in Modern Mathematics S. M. Ulam