Oscillation of higher order neutral functional difference equations with positive and negative coefficients
โ Scribed by R. N. Rath; B. L. S. Barik; S. K. Rath
- Book ID
- 111493090
- Publisher
- SP Versita
- Year
- 2010
- Tongue
- English
- Weight
- 559 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0139-9918
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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
t ## ลฝ . , โฆ g R , G โฆ , are obtained where R t q H Q u du y 1 is allowed to x ฯฑ w ลฝ . ลฝ oscillate and the condition H s P s y Q s y q โฆ H P u y Q u y q t s 0 .x โฆ du ds s ฯฑ is not necessary. Some examples are given, which show that the results here are almost sharp.