Cabada Fernández, AlbertoFernández Tojo, Fernando AdriánLópez Somoza, Lucía2024-11-252024-11-252020-02-211660-5446https://hdl.handle.net/10347/37805This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00009-020-1494-8In this work, we study integral equations defined on the whole real line. Using a suitable Banach space, we look for solutions which satisfy some certain kind of asymptotic behavior. We will consider spectral theory to find fixed points of the integral operator.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Asymptotic behaviorIntegral operatorsUnbounded domainSpectral theory120219 Ecuaciones diferenciales ordinariasjournal article10.1007/s00009-020-1494-81660-5454open access