FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, roč. 148, č. 10, s. 4319-4332. ISSN 0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/15072. |
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@article{1627356, author = {Fujimoto, Kodai and Hasil, Petr and Veselý, Michal}, article_location = {Providence}, article_number = {10}, doi = {http://dx.doi.org/10.1090/proc/15072}, keywords = {linear equations; difference equations; Riccati method; non-oscillation; oscillation theory}, language = {eng}, issn = {0002-9939}, journal = {Proceedings of the American Mathematical Society}, title = {Riccati transformation and non-oscillation criterion for linear difference equations}, url = {https://doi.org/10.1090/proc/15072}, volume = {148}, year = {2020} }
TY - JOUR ID - 1627356 AU - Fujimoto, Kodai - Hasil, Petr - Veselý, Michal PY - 2020 TI - Riccati transformation and non-oscillation criterion for linear difference equations JF - Proceedings of the American Mathematical Society VL - 148 IS - 10 SP - 4319-4332 EP - 4319-4332 PB - American Mathematical Society SN - 00029939 KW - linear equations KW - difference equations KW - Riccati method KW - non-oscillation KW - oscillation theory UR - https://doi.org/10.1090/proc/15072 L2 - https://doi.org/10.1090/proc/15072 N2 - 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. ER -
FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. \textit{Proceedings of the American Mathematical Society}. Providence: American Mathematical Society, 2020, roč.~148, č.~10, s.~4319-4332. ISSN~0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/15072.
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