Existence of solutions of integral equations defined in unbounded domains via spectral theory

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URI: https://hdl.handle.net/10347/37805
ISSN: 1660-5446
E-ISSN: 1660-5454
DOI: 10.1007/s00009-020-1494-8

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2020-02-21

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Springer
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Abstract

In 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.

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This 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/s00009-020-1494-8

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Asymptotic behavior| Integral operators| Unbounded domain| Spectral theory

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The three authors were partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016-75140-P, co-financed by the European Community fund FEDER. L. López-Somoza: supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)
Estatística, Análise Matemática e Optimización