Stability of solutions of systems of Volterra integral equations

I.V. Boykov, V.A. Roudnev and A.I. Boykova

Applied Mathematics and Computation, 2024, vol. 475, issue C

Abstract: In this paper, we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra equations. Solution stability conditions for systems of Volterra linear integral equations are studied with perturbed right hand sides of the equations. These new sufficient conditions are expressed in terms of logarithmic norms of matrices consisting of coefficients of equations and derivatives of their kernels. For Volterra integro-differential equations we also provide sufficient conditions for stability of solutions when the initial conditions are perturbed.

Keywords: Stability; Systems of Volterra linear integral equations; Systems integro-differential Volterra equations; Perturbed right hand sides; Perturbed initial conditions (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324002005

DOI: 10.1016/j.amc.2024.128728

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