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On two conditional Pexider functional equations and their stabilities. (English) Zbl 1162.39018

The author solves two conditional Pexider functional equations and investigates their generalized Hyers-Ulam stability. Besides the references given in the paper, the reader can find related results in the book D. H. Hyers, G. Isac and Th. M. Rassias [Stability of functional equations in several variables. Birkhäuser (1998; Zbl 0907.39025)] and in the paper by P. Gavruta [J. Math. Anal. Appl. 184, No. 3, 431–436 (1994; Zbl 0791.47011)].

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B55 Orthogonal additivity and other conditional functional equations
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