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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. © 2024 Elsevier Inc.
Original languageEnglish
Article number128728
JournalApplied Mathematics and Computation
Volume475
DOIs
StatePublished - 15 Aug 2024

    Research areas

  • Perturbed initial conditions, Perturbed right hand sides, Stability, Systems integro-differential Volterra equations, Systems of Volterra linear integral equations, System stability, Initial conditions, Linear integral equations, Perturbed initial condition, Perturbed right hand side, Right-hand sides, Stability of solutions, System integro-differential volterrum equation, System of volterrum linear integral equation, Volterra, Volterra equation, Integrodifferential equations

ID: 126391543