On the Existence of Oscillating Solutions of Scalar Nonlinear Discrete Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199184" target="_blank" >RIV/00216305:26220/26:0199184 - isvavai.cz</a>
Result on the web
<a href="https://pubs.aip.org/aip/acp/article-abstract/3315/1/260002/3363090/On-the-existence-of-oscillating-solutions-of?redirectedFrom=fulltext" target="_blank" >https://pubs.aip.org/aip/acp/article-abstract/3315/1/260002/3363090/On-the-existence-of-oscillating-solutions-of?redirectedFrom=fulltext</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0286680" target="_blank" >10.1063/5.0286680</a>

Result language
angličtina
Original language name
On the Existence of Oscillating Solutions of Scalar Nonlinear Discrete Equations
Original language description
The paper considers a non-linear scalar discrete equation v(k + 1) = v(k) + η(k, v(k)), where k = k0, k0 + 1,... is an independent variable, k0 is a fixed integer, v is an unknown function, and η: {k0, k0 + 1,...}×ℝ→ℝ is a nonlinearity. Examples of such equations with oscillating solutions are considered and analyzed. Sufficient conditions guaranteering the existence of oscillating solutions are derived.
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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