Abstract
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.
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The third author was partially supported by MTM2015-65242-C2-2-P.
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Communicated by Jose Bonet.
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Benhamouche, L., Djebali, S. & Garcia-Falset, J. Asymptotic behavior of solutions for systems of quadratic integral equations of Fredholm type. Banach J. Math. Anal. 14, 313–335 (2020). https://doi.org/10.1007/s43037-019-00015-3
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DOI: https://doi.org/10.1007/s43037-019-00015-3