Oscillation of neutral difference equations with periodic coefficients
โ Scribed by I.-G.E. Kordonis; Ch.G. Philos
- Book ID
- 108458686
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 681 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
In this paper, we investigate the oscillation and nonoscillation of the neutral difference equation with variable coefficients where pn,qn, c~n (n = 0,1,2,...) are real numbers with pn >\_ 0, qn >\_ 0, cn \_> 0, k, l, and r are integers with 0 < I < k -1, r > 0, Pn -qn-k+l ~--0, and not identically
For a class of nonlinear homogeneous difference equations with periodic coefficients, it is shown that every nonoscillatory entire solution has exponential bounds and that the oscillation is equivalent to nonexistence of a part of positive characteristic roots. Sufficient conditions for oscillation
consider the first-order neutral nonlinear difference equation of the form A (in -pnyn-r) + qn ijI IY,-0, Ia' sgn Y~-~, = 0, R = 0, 1, where T > 0, t~i 2 0 (i = 1,2,. . ,m) are integers, {p,} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation withou