ON A STABILITY OF PEXIDERIZED EXPONENTIAL EQUATION

Title & Authors
ON A STABILITY OF PEXIDERIZED EXPONENTIAL EQUATION
Chung, Jae-Young;

Abstract
We prove the Hyers-Ulam stability of a Pexiderized exponential equation of mappings f, g, h : $\small{G{\times}S{\rightarrow}{\mathbb{C}}}$, 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.
Keywords
distribution;Sato hyperfunction;Fourier hyperfunction;Pexiderized exponential equation;heat kernel;stability;
Language
English
Cited by
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