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Aurel Diamandescu:On the $\Psi -$Instability of a Nonlinear Volterra Integro-Differential System, p.103-119

Abstract:

We prove necessary and sufficient conditions for $\Psi -$ instability of the solutions of a linear homogeneous differential system and sufficient conditions for $\Psi -$ instability of the solutions of a nonlinear Volterra integro-differential system.

Key Words: $\Psi -$ stability, $\Psi -$ instability.

2000 Mathematics Subject Classification: Primary: 45M10,
Secondary: 45J05.

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