A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Delta x(n) = -p(n)x(n - k) with a Positive Coefficient

作者：Bastinec J; Berezansky L; Diblik J^*; Smarda Z

来源：Abstract and Applied Analysis, 2011, 586328.

DOI：10.1155/2011/586328

A linear (k + 1)th-order discrete delayed equation Delta x(n) = -p(n)x(n - k) where p(n) a positive sequence is considered for n -> infinity. This equation is known to have a positive solution if the sequence p(n) satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for p(n), all solutions of the equation considered are oscillating for n -> infinity.

• 出版日期2011