Linear even order homogeneous difference equation with delay in coefficient
We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients. We derive several conditions concerning the oscillation and the existence of positive solutions. Our equation for a...
Elmentve itt :
Szerző: | |
---|---|
Dokumentumtípus: | Folyóirat |
Megjelent: |
2020
|
Sorozat: | Electronic journal of qualitative theory of differential equations
|
Kulcsszavak: | Differenciálegyenlet |
doi: | 10.14232/ejqtde.2020.1.45 |
Online Access: | http://acta.bibl.u-szeged.hu/70158 |
Tartalmi kivonat: | We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients. We derive several conditions concerning the oscillation and the existence of positive solutions. Our equation for a choice of parameter is disconjugate, and for a different choice can have positive and oscillatory solutions at the same time. However, it is still, in a sense, disconjugate if we use a weaker definition of oscillation. |
---|---|
ISSN: | 1417-3875 |