RT Dissertation/Thesis T1 Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems A1 Yousfi Khoumsi, Mouhcine K1 Green’s Functions K1 Nonlinear Problem K1 Spectral Theory AB Differential equations represent an important tool for solvingmany real problems. In this thesis we focus on the qualitativeproperties of the solutions of functional equations with nonlocalboundary conditions, focusing on the study of constantsign solutions.We will study comparison results between the Green's functionsrelated to the Hill's equation subject to different boundaryconditions. The relationship between the respective spectra ofthe different problems considered will be also studied.Finally, we will addressed the study of nonlinear systemssubject to nonlocal linear boundary conditions and the spectralcharaterization of the constant sign derivatives of the Green'sfunction. YR 2024 FD 2024 LK http://hdl.handle.net/10347/34901 UL http://hdl.handle.net/10347/34901 LA eng DS Minerva RD 22 abr 2026