Publication details

Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations

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Authors

FUJIMOTO Kodai HASIL Petr VESELÝ Michal

Year of publication 2024
Type Article in Periodical
Magazine / Source Bulletin of the Malaysian Mathematical Sciences Society
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s40840-024-01745-w
Doi http://dx.doi.org/10.1007/s40840-024-01745-w
Keywords Half-linear equation; Difference equation; Non-oscillation; Oscillation theory; Riccati equation
Description In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples.
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