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초록· 키워드
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We prove the Hyers-Ulam stability of a Pexiderized exponential
equation of mappings f, g, h : G×S → C, where G is an abelian group
and S is a commutative semigroup which is divisible by 2. As an application
we obtain a stability theorem for Pexiderized exponential equation
in Schwartz distributions.
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참고문헌 (14)
참고문헌 신청
D. H. Hyers / 1998 / Stability of Functional Equations in Several Variables / Birkhauser Boston, Inc
D. V. Widder / 1975 / The Heat Equation / Academic Press
I. Feny¨o / 1956 / ¨ Uber eine L¨osungsmethode gewisser Funktionalgleichungen / Acta Math. Acad. Sci. Hungar 7 : 383 ~ 396
I. M. Gelfand / 1968 / Generalized Functions / Academic Press [Harcourt Brace Jovanovich, Publishers]
J. A. Baker / 1979 / The stability of the equation f(x + y) = f(x)f(y) / Proc. Amer. Math. Soc 74 (2) : 242 ~ 246
D. V. Widder / 1975 / The Heat Equation / Academic Press
I. Feny¨o / 1956 / ¨ Uber eine L¨osungsmethode gewisser Funktionalgleichungen / Acta Math. Acad. Sci. Hungar 7 : 383 ~ 396
I. M. Gelfand / 1968 / Generalized Functions / Academic Press [Harcourt Brace Jovanovich, Publishers]
J. A. Baker / 1979 / The stability of the equation f(x + y) = f(x)f(y) / Proc. Amer. Math. Soc 74 (2) : 242 ~ 246
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