Detecting Initial Data Generating (b, c)-Bounded Solutions of Scalar Non-Homogeneous Linear Discrete Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F26%3A0199256" target="_blank" >RIV/00216305:26110/26:0199256 - isvavai.cz</a>
Result on the web
<a href="https://pubs.aip.org/aip/acp/article-abstract/3315/1/260003/3363141/Detecting-initial-data-generating-b-c-bounded?redirectedFrom=fulltext" target="_blank" >https://pubs.aip.org/aip/acp/article-abstract/3315/1/260003/3363141/Detecting-initial-data-generating-b-c-bounded?redirectedFrom=fulltext</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0286077" target="_blank" >10.1063/5.0286077</a>

Result language
angličtina
Original language name
Detecting Initial Data Generating (b, c)-Bounded Solutions of Scalar Non-Homogeneous Linear Discrete Equations
Original language description
The paper is concerned with the scalar linear non-homogeneous equation u(k + 1) = (1 + φ(k))u(k) + δ(k), k = k0, k0 + 1,..., where k0 is a fixed integer, φ(k) and δ(k) are real functions, and u(k) is an unknown real function. Sufficient conditions are given guaranteeing that the particular solution, generated by a constructed initial value u(k0) is (b, c)-bounded, i.e., for given functions b(k), c(k) satisfying b(k) < c(k) for k = k0, k0 + 1,..., the inequalities b(k) < u(k) < c(k), k = k0, k0 + 1,... hold. The sufficient conditions presented here differ from those known previously.
Czech name
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Czech description
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Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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