RT Journal Article
T1 Hybrid localization for nonlinear systems: lower/upper solution and Krasnosel’skii fixed point theorem techniques
A1 Rodríguez López, Jorge
K1 Nonlinear systems
K1 Component-wise location
K1 Lower and upper solution
K1 Krasnosel’skiĭ fixed point theorem
K1 Schauder fixed point theorem
AB We 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.
PB Springer
YR 2024
FD 2024
LK https://hdl.handle.net/10347/37659
UL https://hdl.handle.net/10347/37659
LA eng
NO Rodríguez–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/s00605-024-02026-1
NO This 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/s00605-024-02026-1
NO Research partially supported by Ministerio de Ciencia y Tecnología (Spain), AEI and Feder, grant PID2020-113275GB-I00, and Xunta de Galicia, Spain, Project ED431C 2023/12.
DS Minerva
RD 30 abr 2026