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초록· 키워드
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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 (25)
참고문헌 신청
K. J. Arrow / 1954 / Existence of an equilibrium for a competitive economy / Econometrica 22:265~290
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
J. P. Aubin / 1990 / Set-Valued Analysis / Birkhauser
R. J. Aumann / 1965 / Integrals of set-valued functions / J. Math. Anal. Appl 12:1~12
N. Brillouet-Belluot / 2014 / Fixed Point Theory and the Ulam Stability / Abstract and Applied Analysis 2014:16
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
J. P. Aubin / 1990 / Set-Valued Analysis / Birkhauser
R. J. Aumann / 1965 / Integrals of set-valued functions / J. Math. Anal. Appl 12:1~12
N. Brillouet-Belluot / 2014 / Fixed Point Theory and the Ulam Stability / Abstract and Applied Analysis 2014:16
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