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Approximate solutions of the generalized Gołąb-Schinzel equation. (English) Zbl 1134.39022

Summary: Motivated by a problem of R. Ger, raised at the 38th International Symposium on Functional Equations (2000; Zbl 0981.39500), we show that the generalized Gołąb-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.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations

Citations:

Zbl 0981.39500
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References:

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