Detail publikačního výsledku

Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part

BEREZANSKY, L.; DIBLÍK, J.; DOMOSHNITSKY, A.; ŠMARDA, Z.

Originální název

Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part

Anglický název

Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part

Druh

Článek WoS

Originální abstrakt

A linear vector differential equation with delays, neutral terms and an integral part of Volterra type is considered on the positive semi-axis. The boundedness of all solutions and their exponential stability are investigated. Explicit-type criteria are proved by a method which uses a priori estimates of solutions, the matrix measure, M-matrices, and a generalized Bohl–Perron theorem. Connections with previously known results are discussed. The results are illustrated by examples with problems for further research suggested.

Anglický abstrakt

A linear vector differential equation with delays, neutral terms and an integral part of Volterra type is considered on the positive semi-axis. The boundedness of all solutions and their exponential stability are investigated. Explicit-type criteria are proved by a method which uses a priori estimates of solutions, the matrix measure, M-matrices, and a generalized Bohl–Perron theorem. Connections with previously known results are discussed. The results are illustrated by examples with problems for further research suggested.

Klíčová slova

a priori estimates; Bohl–Perron theorem; Boundedness; Delay; Exponential stability; Integro-differential equation; Linear neutral system; M-matrix; Matrix measure; Uniform stability; Volterra-type delay

Klíčová slova v angličtině

a priori estimates; Bohl–Perron theorem; Boundedness; Delay; Exponential stability; Integro-differential equation; Linear neutral system; M-matrix; Matrix measure; Uniform stability; Volterra-type delay

Autoři

BEREZANSKY, L.; DIBLÍK, J.; DOMOSHNITSKY, A.; ŠMARDA, Z.

Rok RIV

2026

Vydáno

17.08.2025

ISSN

1873-2887

Periodikum

Chaos, solitons and fractals

Svazek

200

Číslo

1

Stát

Spojené království Velké Británie a Severního Irska

Strany počet

18

URL

https://www.sciencedirect.com/science/article/abs/pii/S0960077925009750

BibTex

@article{BUT198531,
  author="Leonid {Berezansky} and Josef {Diblík} and Alexander {Domoshnitsky} and Zdeněk {Šmarda}",
  title="Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part
",
  journal="Chaos, solitons and fractals",
  year="2025",
  volume="200",
  number="1",
  pages="18",
  doi="10.1016/j.chaos.2025.116962",
  issn="0960-0779",
  url="https://www.sciencedirect.com/science/article/abs/pii/S0960077925009750"
}