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

2018/11/14 by Alberto Cabada, Cabada, Alberto, Lucía López-Somoza +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1811.06121

openalex publication_date 2018/11/14 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this work we study integral equations defined on the whole real line.\nUsing a suitable Banach space, we look for solutions which satisfy some certain\nkind of asymptotic behavior. We will consider spectral theory in order to find\nfixed points of the integral operator.\n

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