A Multidimensional Functional Equation Having Quadratic Forms as Solutions

被引:0
作者
Won-Gil Park
Jae-Hyeong Bae
机构
[1] National Institute for Mathematical Sciences,Department of Applied Mathematics
[2] Kyung Hee University,undefined
来源
Journal of Inequalities and Applications | / 2007卷
关键词
General Solution; Functional Equation; Quadratic Form; Quadratic Functional Equation;
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摘要
We obtain the general solution and the stability of the[inline-graphic not available: see fulltext]-variable quadratic functional equation[inline-graphic not available: see fulltext] The quadratic form[inline-graphic not available: see fulltext] is a solution of the given functional equation.
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  • [2] Jun K-W(2004)-dimensional quadratic functional equation Journal of Mathematical Analysis and Applications 294 196-205
  • [3] Bae J-H(2006)On the generalized Hyers-Ulam-Rassias stability in Banach modules over a Nonlinear Analysis: Theory, Methods & Applications 64 856-868
  • [4] Park W-G(1998)-algebra Journal of Mathematical Analysis and Applications 222 126-137
  • [5] Bae J-H(2005)On stability of a functional equation with Nonlinear Analysis: Theory, Methods & Applications 62 643-654
  • [6] Park W-G(undefined)-variables undefined undefined undefined-undefined
  • [7] Jung S-M(undefined)On the Hyers-Ulam stability of the functional equations that have the quadratic property undefined undefined undefined-undefined
  • [8] Park W-G(undefined)On a bi-quadratic functional equation and its stability undefined undefined undefined-undefined
  • [9] Bae J-H(undefined)undefined undefined undefined undefined-undefined