A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed EquationΔ x ( n ) = − p ( n ) x ( n − k
Author(s) -
Jaromír Baštinec,
Leonid Berezansky,
Josef Diblı́k,
Zdeněk Šmarda
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/586328
Subject(s) - algorithm , computer science
A linear (k+1)th-order discrete delayed equation Δx(n)=−p(n)x(n−k) where p(n) a positive sequence is considered for n→∞. 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→∞
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