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

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  • Berezansky, Leonid
  • Diblík, Josef
  • Domoshnitsky, Alexander
  • Šmarda, Zdeněk

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.

Suggested Citation

  • Berezansky, Leonid & Diblík, Josef & Domoshnitsky, Alexander & Šmarda, Zdeněk, 2025. "Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009750
    DOI: 10.1016/j.chaos.2025.116962
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