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Stability problem for the composite type functional equations
Authors:Ravi P. Agarwal  Janusz Brzdęk  Jacek Chudziak
Affiliation:1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas 78363-8202, United States;2. Department of Mathematics, Pedagogical University of Cracow, Podchor??ych 2, 30-084, Kraków, Poland;3. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-959 Rzeszów, Poland
Abstract:Composite type functional equations in several variables play a significant role in various branches of mathematics and they have several interesting applications. Therefore their stability properties are of interest. The aim of this paper is to present a survey of some results and methods concerning stability of several of such equations; especially those somehow connected to the well known Go??b–Schinzel equation.
Keywords:primary  39B82  secondary  39B12  39B52  39B62.  Hyers–Ulam stability  Functional equation  Composite type  Go??b–Schinzel equation  Quotient stability
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