zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays. (English) Zbl 1139.92001
Summary: A generalized reaction-diffusion model of M. A. Cohen and S. Grossberg [see IEEE Trans. Syst. Man. Cybern. 13, 815–826 (1983; Zbl 0553.92009)] neural networks with time-varying and distributed delays is investigated. By employing analytic methods, inequality techniques and M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium points for Cohen-Grossberg neural networks with time-varying and distributed delays are obtained. Several examples are given to show the effectiveness of the obtained results.
MSC:
92B20General theory of neural networks (mathematical biology)
35K57Reaction-diffusion equations
34K20Stability theory of functional-differential equations