Motivated by the problem of R. Ger, we show that the generalized Gołab-Schinzel equation is superstable in the class of functions hemicontinuous at the origin. As a consequence, we obtain the form of approximate solutions of that equation.
Motivated by the problem of R. Ger we consider the stability of the Gołab-Schinzel functional equation. We show that in the class of functions satisfying some weak regularity assumption the equation is superstable. 2004 Elsevier Inc. All rights reserved.
Abstract. It is known that some problems in meteorology and fluid dynamics lead to Go lab-Schinzel type equations on a restricted domain. Inspired by a question of Professor L. Reich we determine the solutions of conditional composite type functional equations related to the Go lab-Schinzel equation.Mathematics Subject Classification (2010). 39B12, 39B22.
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