충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제28권4호
  • /
  • Pages.635-645
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  • 2015
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS

  • Koh, Heejeong (Department of Mathematical Education Dankook University)
  • 투고 : 2015.10.15
  • 심사 : 2015.11.06
  • 발행 : 2015.11.15
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초록

We will show the general solution of the functional equation $$\begin{eqnarray}f(x+ay)+f(x-ay)+2(a^2-1)f(x)\\=a^2f(x+y)+a^2f(x-y)+2a^2(a^2-1)f(y)\end{eqnarray}$$ and investigate the Hyers-Ulam stability of the quartic set-valued functional equation.

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참고문헌

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