On the oscillation of some linear difference equations with periodic coefficients
Some linear difference equations with periodic coefficients (not necessarily nonnegative) are considered. Necessary conditions and sufficient conditions for the oscillation of the solutions are established. Conditions under which all nonoscillatory solutions tend to zero at ∞ are also presented. The...
Saved in:
Published in | Journal of computational and applied mathematics Vol. 84; no. 2; pp. 219 - 241 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
28.10.1997
Elsevier |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | Some linear difference equations with periodic coefficients (not necessarily nonnegative) are considered. Necessary conditions and sufficient conditions for the oscillation of the solutions are established. Conditions under which all nonoscillatory solutions tend to zero at ∞ are also presented. The results obtained are the discrete analogues of the oscillation results for some linear delay differential equations with periodic coefficients, which were given earlier by the second author [Oscillations of some delay differential equations with periodic coefficients,
J. Math. Anal. Appl.
162 (1991) 452–475]. |
---|---|
Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0377-0427 1879-1778 |
DOI: | 10.1016/S0377-0427(97)00126-X |