TY  - JOUR
ID  - FernándezPardo2026
LB  - FernándezPardo2026
AU  - Fernández-Pardo, Laura M.
AU  - Rodríguez-López, Jorge
TI  - On a fixed point theorem for operator systems and eigenvalue criteria for existence of positive solutions
ST  - On a fixed point theorem for operator systems and eigenvalue criteria for existence of positive solutions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2026
VL  - 46
IS  - 2
SP  - 219
EP  - 234
DO  - https://doi.org/10.7494/OpMath.202602271
UR  - https://doi.org/10.7494/OpMath.202602271
AB  - We 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.
KW  - coexistence fixed point
KW  - fixed point index
KW  - positive solution
KW  - nonlinear systems
SN  - 1232-9274
ER  -