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Pexider type equation on a region

Chudziak M., Sobek B.

Journal of Applied Analysis

2017

Vol. 23, nr 2

101--110

We consider the problem of existence and uniqueness of extensions for the solutions of the Pexider type equation f(x + y) = g(x) + h(y) + k(x)l(y) for (x, y) ∈ D, where X is a normed space and D is a nonempty open and connected subset of X2.

Stability of the Popoviviu type functional equations on groups

Chudziak M.

Opuscula Mathematica

2011

Vol. 31, no. 3

317-325

We consider the stability problem for a class of functional equations related to the Popoviciu equation.