Browsing by Subject "coexistence fixed point"
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Item type:Article, Access status: Open Access , On a fixed point theorem for operator systems and eigenvalue criteria for existence of positive solutions(Wydawnictwa AGH, 2026) Fernández-Pardo, Laura M.; Rodríguez-López, JorgeWe provide an alternative approach, based on the Leray-Schauder fixed point index in cones, to a fixed point theorem for operator systems due to Precup. Our focus is on the case of operators whose components are entirely of compressive type. The abstract technique is applied to a system of second-order differential equations providing a coexistence positive solution by means of an eigenvalue type criterion.