期刊论文详细信息
Mathematica Slovaca | |
Oscillation of fourth order nonlinear neutral difference equations I | |
A. Tripathy1  | |
关键词: oscillation; non-oscillation; neutral difference equation; existence of positive solution; asymptotic behaviour; | |
DOI : 10.2478/s12175-008-0069-0 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral difference equations of the form $$Delta ^2 (r(n)Delta ^2 (y(n) + p(n)y(n - m))) + q(n)G(y(n - k)) = 0$$ and $$(NH) Delta ^2 (r(n)Delta ^2 (y(n) + p(n)y(n - m))) + q(n)G(y(n - k)) = f(n)$$ are studied under the assumption $$sumlimits_{n = 0}^infty {frac{n}{{r(n)}} = infty } $$, for various ranges of p(n). Sufficient conditions are obtained for the existence of bounded positive solutions of (NH).
【 授权许可】
Unknown
【 预 览 】
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RO201912080690692ZK.pdf | 255KB | download |