RT Journal Article
T1 Third-order differential equations with three-point boundary conditions
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay
K1 Third-order equations
K1 Three-point boundary conditions
K1 Green’s function
K1 Degree theory
AB In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive and increasing functions on the whole interval of definition, which are convex in a given subinterval. The nonlinear considered problem consists on the product of a positive real parameter, a nonnegative function that depends on the spatial variable and a time dependent function, with negative sign on the first part of the interval and positive on the second one. The results hold by means of fixed point theorems on suitable cones.
PB De Gruyter
SN 2391-5455
YR 2021
FD 2021-02-24
LK https://hdl.handle.net/10347/38003
UL https://hdl.handle.net/10347/38003
LA eng
NO Cabada, A. & Dimitrov, N. (2021). Third-order differential equations with three-point boundary conditions. Open Mathematics, 19(1), 11-31. https://doi.org/10.1515/math-2021-0007
NO Alberto Cabada was partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grant MTM2016-75140-P. Nikolay D. Dimitrov was supported by the Bulgarian National Science Fund 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