A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δ ð ‘¥ ( ð ‘› ) = − ð ‘ ( ð ‘› ) ð ‘¥ ( ð ‘› − 𠑘 ) with a Positive Coefficient

J. Baštinec, L. Berezansky, J. Diblík and Z. Šmarda

Abstract and Applied Analysis, 2011, vol. 2011, 1-28

Abstract:

A linear ( 𠑘 + 1 ) th-order discrete delayed equation Δ ð ‘¥ ( ð ‘› ) = − ð ‘ ( ð ‘› ) ð ‘¥ ( ð ‘› − 𠑘 ) where ð ‘ ( ð ‘› ) a positive sequence is considered for ð ‘› → ∞ . This equation is known to have a positive solution if the sequence ð ‘ ( ð ‘› ) satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for ð ‘ ( ð ‘› ) , all solutions of the equation considered are oscillating for ð ‘› → ∞ .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:586328

DOI: 10.1155/2011/586328

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