Detail publikačního výsledku

Parameterization and Trigonometric Approximation of Periodic Solutions of Non-linear Equations with Deviating Arguments

RONTÓ, A.

Originální název

Parameterization and Trigonometric Approximation of Periodic Solutions of Non-linear Equations with Deviating Arguments

Anglický název

Parameterization and Trigonometric Approximation of Periodic Solutions of Non-linear Equations with Deviating Arguments

Druh

Článek WoS

Originální abstrakt

A constructive approach is proposed for the approximate finding of periodic solutions of differential systems with deviating argument and non-linearities satisfying the Lipschitz condition in a bounded region. Under suitable assumptions, the method allows one to prove solvability based on computational results. We describe a computationally less demanding version of the scheme involving trigonometric polynomial interpolation, in which higher-order approximations are constructed without symbolic integration. The practical use of the method is demonstrated with numerical examples.

Anglický abstrakt

A constructive approach is proposed for the approximate finding of periodic solutions of differential systems with deviating argument and non-linearities satisfying the Lipschitz condition in a bounded region. Under suitable assumptions, the method allows one to prove solvability based on computational results. We describe a computationally less demanding version of the scheme involving trigonometric polynomial interpolation, in which higher-order approximations are constructed without symbolic integration. The practical use of the method is demonstrated with numerical examples.

Klíčová slova

Periodic solution; deviating argument; successive approximations; trigonometric approximation

Klíčová slova v angličtině

Periodic solution; deviating argument; successive approximations; trigonometric approximation

Autoři

RONTÓ, A.

Rok RIV

2026

Vydáno

25.02.2026

Nakladatel

Springer Science and Business Media LLC

Periodikum

Mediterranean Journal of Mathematics

Svazek

23

Číslo

February

Stát

Švýcarská konfederace

Strany od

69

Strany počet

25

URL

https://link.springer.com/article/10.1007/s00009-026-03069-4

BibTex

@article{BUT201663,
  author="András {Rontó}",
  title="Parameterization and Trigonometric Approximation of Periodic Solutions of Non-linear Equations with Deviating Arguments",
  journal="Mediterranean Journal of Mathematics",
  year="2026",
  volume="23",
  number="February",
  pages="25",
  doi="10.1007/s00009-026-03069-4",
  issn="1660-5446",
  url="https://link.springer.com/article/10.1007/s00009-026-03069-4"
}