Publication result detail

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

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

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

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

Released

17.08.2025

ISBN

1873-2887

Periodical

CHAOS SOLITONS & FRACTALS

Volume

200

Number

1

State

United Kingdom of Great Britain and Northern Ireland

Pages count

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 & 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"
}