JEKL, Jan. Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type. Mathematical Methods in the Applied Sciences. Wiley, 2023, vol. 46, No 5, p. 5314-5327. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.8836.
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Basic information
Original name Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type
Authors JEKL, Jan (203 Czech Republic, guarantor, belonging to the institution).
Edition Mathematical Methods in the Applied Sciences, Wiley, 2023, 0170-4214.
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: 2.900 in 2022
RIV identification code RIV/00216224:14310/23:00130083
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1002/mma.8836
UT WoS 000876819700001
Keywords in English closed-form solution; discrete calculus; Euler-type equation; iterated logarithm
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 21/3/2023 10:50.
Abstract
This paper is dedicated to obtaining closed-form solutions of linear difference equations which are asymptotically close to the self-adjoint Euler-type difference equation. In this sense, the equation is related to the Euler-Cauchy differential equation y ''+lambda/t^2y = 0. Throughout the paper, we consider a system of sequences which behave asymptotically as an iterated logarithm.
Links
GA20-11846S, research and development projectName: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace
Investor: Czech Science Foundation
MUNI/A/1092/2021, interní kód MUName: Specifický výzkum v odborné a učitelské matematice 2022 (Acronym: SV matematika 2022)
Investor: Masaryk University
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