科研之友
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摘要
A nonoscillation problem is dealt with the second-order linear difference equation c(n)x(n+1) + c(n-1)x(n-1) = b(n)x(n), where {b(n)} and {c(n)} are positive sequences. For all sufficiently large n is an element of N, the ratios c(n)/c(n-1) and c(n-1)/b(n) play an important role in the results obtained. To be precise, our nonoscillation criteria are described in terms of the sequence q(n) = c(n-1)/b(n) c(n)/b(n+1) c(n)/c(n-1) = c(n)(2)/b(n)b(n+1). These criteria are compared with those that have been reported in previous researches by using some specific examples. Figures are attached to facilitate understanding of the concrete examples.
- 出版日期2017-5
