Publication details

Riccati transformation and non-oscillation criterion for linear difference equations

Authors

FUJIMOTO Kodai HASIL Petr VESELÝ Michal

Year of publication 2020
Type Article in Periodical
Magazine / Source Proc. Amer. Math. Soc.
MU Faculty or unit

Faculty of Science

Citation
Keywords linear equations; difference equations; Riccati method; non-oscillation; oscillation theory
Description We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward non-oscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly. To illustrate the novelty and the usage of the presented criterion, we provide corollaries and examples.
Related projects: