Nontrivial solutions of Hammerstein integral equations with reflections

2017/07/04 by Alberto Cabada, Gennaro Infante, Cabada, Alberto +3
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fixed Point Theorems Analysis #Nonlinear Differential Equations Analysis #math.CA

paper · pdf · doi:10.48550/arxiv.1707.01033

arxiv created 2017/07/04 · openalex publication_date 2017/07/04 · arxiv updated 2017/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a first order periodic boundary value problem with reflections.

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