Rodríguez López, Jorge2024-11-112024-11-112024Rodríguez–López, J. Hybrid localization for nonlinear systems: lower/upper solution and Krasnosel’skiĭ fixed point theorem techniques. Monatsh Math (2024). https://doi.org/10.1007/s00605-024-02026-1https://hdl.handle.net/10347/37659This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00605-024-02026-1We present a novel localization of the solutions of a system of two differential equations. It combines, in a component-wise manner, the method of lower and upper solutions with the localization provided by compression–expansion type fixed point theorems in cones. The main result is based on a recent fixed point theorem for operator systems.engNonlinear systemsComponent-wise locationLower and upper solutionKrasnosel’skiĭ fixed point theoremSchauder fixed point theorem12 Matemáticasjournal article10.1007/s00605-024-02026-11436-5081restricted access