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)
Dynamics of a rational difference equation using both theoretical and computational approaches. (English) Zbl 1085.39006
The authors study the global behavior of the difference equation x n +1=(p+x n )(x n +qx n-k ) -1 ,k{1,2,}, where the initial conditions x k ,x k +1,,x 0 are non-negative and the parameters p and q are also non-negative. They investigate the oscillatory character, invariant intervals, the boundedness and the global stability of the solutions of the above equation. The analysis of semi cycles is verified under some specific conditions posed on the coefficients. Finally, the authors give some numerical examples to support their theoretical discussions.
MSC:
39A11Stability of difference equations (MSC2000)
39A20Generalized difference equations
65Q05Numerical methods for functional equations (MSC2000)