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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2013.1
- 수록면
- 233 - 245 (13page)
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Let A be a Banach ternary algebra over a scalar eld R or C and X be aternary Banach A-module. A quartic mapping D : (A, [ ]A) ! (X, [ ]X) is called a 4th-order ternary derivation if D([x, y, z]) = [D(x), y4, z4] + [x4,D(y), z4] + [x4, y4,D(z)] forall x, y, z 2 A. In this paper, we prove Ulam stability generalizations of 4th- order ternaryderivations associated to the following JMRassias quartic functional equation on fr echetalgebras:f(kx + y) + f(kx - y) = k2[f(x + y) + f(x - y)]+ 2k2(k2 - 1)f(x) - 2(k2 - 1)f(y).
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참고문헌 (28)
참고문헌 신청
A. Cayley / 1981 / On the 34 concomitants of the ternary cubic / Amer. J. Math. 4 : 1 ~ 15
A. Ebadian / / Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces / Discrete Dynamics in Nature and Society
A. Ebadian / / Stability of generalized derivations on Hilbert C - modules associated to a pexiderized Cuachy-Jensen type functional equation / Acta Mathematica Scintia
A. Ebadian / 2010 / A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C -ternary algebras / Journal of mathematical physics 51 : 103508 ~
A. Ebadian / 2010 / On approximate additive?quartic and quadratic?cubic functional equations in two variables on abelian groups / Results Math. 58 : 39 ~ 53
A. Ebadian / / Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces / Discrete Dynamics in Nature and Society
A. Ebadian / / Stability of generalized derivations on Hilbert C - modules associated to a pexiderized Cuachy-Jensen type functional equation / Acta Mathematica Scintia
A. Ebadian / 2010 / A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C -ternary algebras / Journal of mathematical physics 51 : 103508 ~
A. Ebadian / 2010 / On approximate additive?quartic and quadratic?cubic functional equations in two variables on abelian groups / Results Math. 58 : 39 ~ 53
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