RT Book,_Section
T1 Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
A1 Cabada Fernández, Alberto
A1 López Somoza, Lucía
A2 Ashyralyev, Allaberen
A2 Ruzhansky, Michael
A2 Sadybekov, Makhmud A.
K1 Spectral characterization
K1 Neumann Problem
K1 Periodic Problem
K1 Green's function
AB In this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation considered in \cite{CabSom_Eloe} for the particular case of $p=0$.
PB Springer
SN 978-3-031-62668-5
YR 2024
FD 2024-08-28
LK https://hdl.handle.net/10347/44915
UL https://hdl.handle.net/10347/44915
LA eng
NO Cabada, A., López-Somoza, L. (2024). Characterization of the Constant Sign of a Class of Periodic and Neumann Green’s Functions via Spectral Theory. In: Ashyralyev, A., Ruzhansky, M., Sadybekov, M.A. (eds) Analysis and Applied Mathematics. AAM 2022. Trends in Mathematics(), vol 6. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-62668-5_5
NO Partially supported by Xunta de Galicia (Spain), project ED431C 2023/12 and Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by ‘’ERDF A way of making Europe” of the “European Union”
DS Minerva
RD 29 abr 2026