Hyers-Ulam-Rassias stability of functional equations in mathematical analysis (Q2732566)

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scientific article; zbMATH DE number 1624427
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Hyers-Ulam-Rassias stability of functional equations in mathematical analysis
scientific article; zbMATH DE number 1624427

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    26 July 2001
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    Ulam-Hyers-Rassias stability
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    monograph
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    functional equations in several variables
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    Cauchy equations
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    HosszĂș equation
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    Jensen equation
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    quadratic functional equation
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    superstability
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    exponential and logarithmic functional equations
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    Hyers-Ulam-Rassias stability of functional equations in mathematical analysis (English)
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    This monograph is devoted to the Ulam-Hyers-Rassias stability problems of functional equations in several variables. The idea of stability of functional equations comes from S. M. Ulam and nowadays very many mathematicians from all over the world work on these problems.NEWLINENEWLINENEWLINEIn the book the author considers stability problems in the Ulam-Hyers and Rassias sense for many important functional equations: Cauchy equations, HosszĂș equation, Jensen equation and quadratic functional equation. Also so-called superstability problems for exponential and logarithmic functional equations are widely considered.NEWLINENEWLINENEWLINEThe reader may find in the monograph many very interesting results in this direction which are originally stated only in scientific papers published in various mathematical international journals. Also wide list of references concerning subject discussed is contained in the book.
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