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Existence and approximation of solutions of a system of differential equations of Volterra type

The present paper deals with the nonlinear systems of differential equations of Volterra type regarding to the existence, behaviour, approximation and stability of their definite solutions, all solutions in a corresponding region or parametric classes of solutions on unbounded interval. The approximate solutions with precise error estimates are determined. The theory of qualitative analysis of differential equations and topological retraction method are used.

Volterra system; existence and behaviour of solutions; approximation of solutions

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