RT Journal Article
T1 Green’s functions for fractional difference equations with Dirichlet boundary conditions
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay D.
A1 Jonnalagadda, Jagan Mohan
K1 Fractional difference
K1 Dirichlet conditions
K1 Green’s function
K1 Existence of solutions
AB This article is devoted to deduce the expression and the main properties of the Green’s function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In particular, it is proved that such function has constant sign on their set of definition and, moreover, it satisfies some additional strong sign conditions that are fundamental to define suitable cones, where to ensure the existence of solutions of nonlinear problems.
PB Elsevier
SN 0960-0779
YR 2021
FD 2021-12-01
LK https://hdl.handle.net/10347/39829
UL https://hdl.handle.net/10347/39829
LA eng
NO First author is partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grant PID2020- 113275GB-I00. The second author is supported by the Bulgarian National Science Fundation under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”, 2017.
DS Minerva
RD 24 abr 2026