Asymptotic properties of nonoscillatory solutions of third-order delay difference equations
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2018
chapter in monograph / paper
english
- third-order difference equation
- asymptotic behavior
- non-oscillation
- oscillation
EN We study a third-order delay trinomial difference equation. We transform this equation to a binomial third-order difference equation with quasidifferences. Using comparison theorems with a certain first order delay difference equation we establish results on asymptotic properties of nonoscillatory solutions of the studied equation. We give an easily verifiable criterium which ensures that all nonoscillatory solutions tend to zero.
327 - 337
20
WoS (15)