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)
Oscillations of delay difference systems. (English) Zbl 0913.39007
For the difference system $x(t)= \sum^p_{j=1} A_j(t) x(t-r_j)$ in $\bbfR^n$ with positive, pairwise different $r_j$, the oscillatory behaviour of the components of the solutions is investigated. Some special results concern the autonomous resp. the scalar case.

39A12Discrete version of topics in analysis
39A10Additive difference equations
Full Text: DOI
[1] Arino, O.; Györi, I.: Necessary and sufficient condition for oscillation of a neutral differential system with several delays. J. differential equations 81, 98-105 (1989) · Zbl 0691.34054
[2] Avellar, C.; Hale, J. K.: On the zeros of exponential polynomials. J. math. Anal. appl. 73, 434-452 (1980) · Zbl 0435.30005
[3] Ferreira, J. M.: Oscillations in difference equations. International conference on differential equations, 484-490 (1993) · Zbl 0938.39502
[4] Györi, I.; Ladas, G.: Oscillation theory of delay differential equations. (1991) · Zbl 0780.34048
[5] Hale, J. K.; Lunel, S. M. Verduyn: Introduction to functional differential equations. (1993) · Zbl 0787.34002
[6] Horn, R. A.; Johnson, C. R.: Matrix analysis. (1990) · Zbl 0704.15002
[7] Kelley, W. G.; Peterson, A. C.: Difference equations. (1991) · Zbl 0733.39001
[8] Vidyasagar, M.: Nonlinear systems analysis. (1993) · Zbl 0900.93132
[9] Widder, D. V.: The Laplace transform. (1946) · Zbl 0060.24801