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On the \(\Psi\)-conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system. (English) Zbl 1113.45012

Summary: We provide sufficient conditions for \(\Psi\)-conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system.

MSC:

45M10 Stability theory for integral equations
45J05 Integro-ordinary differential equations
45M05 Asymptotics of solutions to integral equations
45G15 Systems of nonlinear integral equations
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