RT Journal Article
T1 Characterization of constant sign Green's function for a two-point boundary-value problem by means of spectral theory
A1 Cabada Fernández, Alberto
A1 Saavedra López, Lorena
K1 Green’s functions
K1 Spectral theory
K1 Boundary value problems
AB This article is devoted to the study of the parameter’s set wherethe Green’s function related to a general linear nth-order operator, dependingon a real parameter, Tn[M], coupled with many different two point boundaryvalue conditions, is of constant sign. This constant sign is equivalent to thestrongly inverse positive (negative) character of the related operator on suitablespaces related to the boundary conditions.This characterization is based on spectral theory, in fact the extremes ofthe obtained interval are given by suitable eigenvalues of the differential operatorwith different boundary conditions. Also, we obtain a characterizationof the strongly inverse positive (negative) character on some sets, where nonhomogeneous boundary conditions are considered. To show the applicability ofthe results, we give some examples. Note that this method avoids the explicitcalculation of the related Green’s function.
PB Texas State University, Department of Mathematics
SN 1072-6691
YR 2017
FD 2017
LK http://hdl.handle.net/10347/17607
UL http://hdl.handle.net/10347/17607
LA eng
NO Cabada, A., Saavedra, L. (2017). Characterization of constant sign Green's function for a two-point boundary-value problem by means of spectral theory. Electronic Journal of Differential Equations, (2017), n. 146, pp. 1-95.
NO This research was Partially supported by AIE Spain and FEDER, grants MTM2013-43014-P, MTM2016-75140-P. The second author was supported by FPU scholarship, Ministerio de Educaci´on, Cultura y Deporte, Sp
DS Minerva
RD 24 abr 2026