Bounded solutions of fractional discrete equations of positive non-integer orders

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144280" target="_blank" >RIV/00216305:26220/22:PU144280 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1063/5.0081310" target="_blank" >https://doi.org/10.1063/5.0081310</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0081310" target="_blank" >10.1063/5.0081310</a>

Result language
angličtina
Original language name
Bounded solutions of fractional discrete equations of positive non-integer orders
Original language description
The paper considers a linear fractional discrete equation x^α x(n + 1) = λx(n) + δ(n), n = 0, 1,... where Δ^α is the fractional α-order difference, α > 0, λ ∈ R and δ: {0, 1,...} → R. A problem is considered of the existence of a solution x: {0, 1,...} → R satisfying |x(n)| < M, n = 0, 1,..., where M is a constant. This problem is also considered for an equation Δα x(n + 1) = λ(n)x(n) + δ(n, x(n), x(n − 1),..., x(0)), n = 0, 1,..., where λ: {0, 1,...} → R, δ: {0, 1,..., n} × R × R × ... × R, (n+1 times)→ R, generalizing the previous one.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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