FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations. Bulletin of the Malaysian Mathematical Sciences Society. Springer, 2024, roč. 47, č. 5, s. 1-19. ISSN 0126-6705. Dostupné z: https://dx.doi.org/10.1007/s40840-024-01745-w. |
Další formáty:
BibTeX
LaTeX
RIS
@article{2421877, author = {Fujimoto, Kodai and Hasil, Petr and Veselý, Michal}, article_number = {5}, doi = {http://dx.doi.org/10.1007/s40840-024-01745-w}, keywords = {Half-linear equation; Difference equation; Non-oscillation; Oscillation theory; Riccati equation}, language = {eng}, issn = {0126-6705}, journal = {Bulletin of the Malaysian Mathematical Sciences Society}, title = {Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations}, url = {https://link.springer.com/article/10.1007/s40840-024-01745-w}, volume = {47}, year = {2024} }
TY - JOUR ID - 2421877 AU - Fujimoto, Kodai - Hasil, Petr - Veselý, Michal PY - 2024 TI - Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations JF - Bulletin of the Malaysian Mathematical Sciences Society VL - 47 IS - 5 SP - 1-19 EP - 1-19 PB - Springer SN - 01266705 KW - Half-linear equation KW - Difference equation KW - Non-oscillation KW - Oscillation theory KW - Riccati equation UR - https://link.springer.com/article/10.1007/s40840-024-01745-w N2 - 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. ER -
FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations. \textit{Bulletin of the Malaysian Mathematical Sciences Society}. Springer, 2024, roč.~47, č.~5, s.~1-19. ISSN~0126-6705. Dostupné z: https://dx.doi.org/10.1007/s40840-024-01745-w.
|