Abstract

The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quadratic integral equations. This system is investigated in the WC–Banach algebra $$C_0=C(I,c_0)$$, consisting of all continuous functions acting from an interval I into the sequence space $$c_0$$. The assumptions imposed on the operators involving the system are formulated in terms of a generalized Lipschitz continuity.

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