Fixed points of Hammerstein-type equations on general cones

2016/11/08 by Rubén Figueroa, Figueroa, Rubén, F. Adrián F. Tojo +1
Engineering · Mathematics · #34B15 #47H30 #7C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Stability and Controllability of Differential Equations #math.CA #msc:34B15 #msc:47H30 #msc:7C25

paper · pdf · doi:10.48550/arxiv.1611.02487

arxiv created 2016/11/08 · openalex publication_date 2016/11/08 · arxiv updated 2016/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous functionals with fixed point index theory. Many examples and an application to boundary value problems are also included.

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