Displaying similar documents to “An existence and stability theorem for a class of functional equations.”

On the inhomogeneous Cauchy functional equation.

István Fenyö, Gian Luigi Forti (1981)

Stochastica

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In this note we solve the inhomogeneous Cauchy functional equation f(x+y) - f(x) - f(y) = d(x,y), x,y belonging to R, in the case where d is bounded.

On the stability of the squares of some functional equations

Zenon Moszner (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry.