FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, vol. 148, No 10, p. 4319-4332. ISSN 0002-9939. Available from: https://dx.doi.org/10.1090/proc/15072.
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Basic information
Original name Riccati transformation and non-oscillation criterion for linear difference equations
Name in Czech Riccatiho transformace a neoscilační kritérium pro lineární diferenční rovnice
Authors FUJIMOTO, Kodai (392 Japan, belonging to the institution), Petr HASIL (203 Czech Republic, belonging to the institution) and Michal VESELÝ (203 Czech Republic, guarantor, belonging to the institution).
Edition Proceedings of the American Mathematical Society, Providence, American Mathematical Society, 2020, 0002-9939.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.016
RIV identification code RIV/00216224:14310/20:00114064
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1090/proc/15072
UT WoS 000562957700018
Keywords (in Czech) lineární rovnice; diferenční rovnice; Riccatiho metoda; neoscilace; oscilační teorie
Keywords in English linear equations; difference equations; Riccati method; non-oscillation; oscillation theory
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 6/1/2021 16:20.
Abstract
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.
Abstract (in Czech)
Je uvažována obecná třída lineárních diferenčních rovnic. Pomocí modifikace diskrétní Riccatiho metody, je získáno přímočaré neoscilační kritérium pro uvažované rovnice. V rozporu s počtem známých kritérií nemusejí být uvažovány žádné pomocné posloupnosti. Použity jsou přímo koeficienty uvažovaných rovnic. K ilustraci novosti a využití prezentovaného kritéria jsou poskytnuty důsledky a příklady.
Links
GA20-11846S, research and development projectName: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace
Investor: Czech Science Foundation
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