Detail publikačního výsledku

On the Existence of Oscillating Solutions of Scalar Nonlinear Discrete Equations

Baštinec, J., Diblík, J., Hartmanová, M.,

Originální název

On the Existence of Oscillating Solutions of Scalar Nonlinear Discrete Equations

Anglický název

On the Existence of Oscillating Solutions of Scalar Nonlinear Discrete Equations

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Oscillating Solutions, Scalar Nonlinear Discrete Equations, Sufficient condition.

Klíčová slova v angličtině

Oscillating Solutions, Scalar Nonlinear Discrete Equations, Sufficient condition.

Autoři

Baštinec, J., Diblík, J., Hartmanová, M.,

Vydáno

11.09.2025

Nakladatel

American Institute of Physics

Místo

USA

ISBN

9780735452459

Kniha

AIP Conf. Proc. 3315, 260002 (2025)

Periodikum

AIP conference proceedings

Stát

Spojené státy americké

Strany od

260002-1

Strany do

260002-4

Strany počet

4

URL

https://pubs.aip.org/aip/acp/article-abstract/3315/1/260002/3363090/On-the-existence-of-oscillating-solutions-of?redirectedFrom=fulltext