zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Hyers-Ulam-Rassias stability of functional equations in mathematical analysis. (English) Zbl 0980.39024
The Hadronic Press Mathematics Series. Palm Harbor, FL: Hadronic Press. ix, 256 p. $ 85.00 (2001).
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. In the book the author considers stability problems in the Ulam-Hyers and Rassias sense for many important functional equations: Cauchy equations, Hosszú equation, Jensen equation and quadratic functional equation. Also so-called superstability problems for exponential and logarithmic functional equations are widely considered. The 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.

39B82Stability, separation, extension, and related topics
39-02Research monographs (functional equations)