Publication result detail

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side

NOVOTNÁ, V.; SHATYRKO, A.; PŮŽA, B.; KHUSAINOV, D.

Original Title

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side

English Title

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side

Type

WoS Article

Original Abstract

By using the apparatus of Lyapunov’s direct method with a function from the class of quadratic forms, we establish algebraic sufficient conditions for the stability of trivial solutions to the nonlinear systems of differential equations of the second and third orders.

English abstract

By using the apparatus of Lyapunov’s direct method with a function from the class of quadratic forms, we establish algebraic sufficient conditions for the stability of trivial solutions to the nonlinear systems of differential equations of the second and third orders.

Keywords

Lyapunov’s direct method; quadratic forms; nonlinear systems of differential equations

Key words in English

Lyapunov’s direct method; quadratic forms; nonlinear systems of differential equations

Authors

NOVOTNÁ, V.; SHATYRKO, A.; PŮŽA, B.; KHUSAINOV, D.

RIV year

2025

Released

12.05.2024

ISBN

1573-9376

Periodical

Ukrainian Mathematical Journal

Volume

75

Number

2

State

Ukraine

Pages count

14

URL

https://link.springer.com/article/10.1007/s11253-024-02300-3?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240501&utm_content=10.1007%2Fs11253-024-02300-3

BibTex

@article{BUT188538,
  author="Veronika {Novotná} and Andriy {Shatyrko} and Bedřich {Půža} and Denys Ya. {Khusainov}",
  title="Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side",
  journal="Ukrainian Mathematical Journal",
  year="2024",
  volume="75",
  number="2",
  pages="14",
  doi="10.1007/s11253-024-02300-3",
  issn="0041-5995",
  url="https://link.springer.com/article/10.1007/s11253-024-02300-3?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240501&utm_content=10.1007%2Fs11253-024-02300-3"
}