논문KCI 등재
On a stability of Pexiderized exponential equation
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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.
Abstract
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.
참고문헌 (14)
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관련 논문AI추천
Superstability of the generalized Pexider type exponential equation in Abelian group김광휘강원경기수학회 · 한국수학논문집2012 · 제20권 제2호APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS이영환한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)정용수한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호The stability of the sine and cosine functional equations in Schwartz distributions정재영, Jeongwook Chang대한수학회 · 대한수학회보2009 · 제46권 제1호Stability of partially pexiderized exponential-radical functional equation최창권대한수학회 · 대한수학회보2021 · 제58권 제2호Stability of pexiderized Jensen and Jensen type functional equations on restricted domains최창권대한수학회 · 대한수학회보2019 · 제56권 제3호
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