Journal of applied mathematics & informatics

  • 제8권2호
  • /
  • Pages.561-567
  • /
  • 2001
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON THE ULAM STABILITY PROBLEM OF A QUADRATIC FUNCTIONAL EQUATION

  • 발행 : 2001.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we investigate the Hyers-Ulam-Rassias stability of a quadratic functional equation f(x+y+z)+f(x-y)+f(y-z)+f(x-z) = 3f(x)+3f(y)+3f(z) and prove the Hyers-Ulam stability of the equation on bounded domains.

키워드

참고문헌

  1. Functional equations in Several Variables J.Aczel;J.Dhombres
  2. Korean J. Comput & Appl. Math. v.7 On a Ulam stability problem of a Euler-Lagrange functional equations J.H.Bae
  3. Abh. Math. v.62 On the stability of the quadratic mapping in normed spaces S.Czerwik
  4. Progress in nonlinear differential equations and their applications v.34 Stability of functional equations in several variables D.H.Hyers;G.Isac;Th.M.Rassias
  5. Abh. Math. v.69 On the stability of the quadratic functional equation on bounded domains S.M.Jung;B.Kim
  6. Rend.Sem.Mat.Fis.Milano v.53 Proprieta locali e approssimazione di operatori F.Skof
  7. Rend Problems in Modern Mathematics S.M.Ulam