LAUSR

In this work, we present new existence results for a system of quadratic integral equations of Fredholm type on the whole space $${\mathbb {R}}^n$$. By using a technique based on a fixed point theorem expressed in terms of some measures of noncompactness, we generalize existence results obtained in both Aghajani and Haghighi (Novi Sad J Math 44.1:59–73, 2014) and Arab (Filomat 30(11):3063–3073, 2016) to Fredholm type systems, we relax some assumptions, and extend by the way the results given in Ilhan and Ozdemir (Electron J Differ Equ. 2016(271):15, 2016) for a class of systems of equations. The asymptotic behaviour of solutions is also described.