RT Journal Article
T1 Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem
A1 Cabada Fernández, Alberto
A1 López Somoza, Lucía
A1 Minhós, Feliz
K1 Nonlinear boundary value problems
K1 Parameter dependence
K1 Multipoint boundary value problems
K1 Green functions
K1 Degree theory
K1 Fixed points in cones
AB This paper provides sufficient conditions to guarantee the existence, non-existence and multiplicity of solutions for a third order eigenvalue fully differential equation, coupled with three point boundary value conditions. Although the change of sign, some bounds for the second derivative of the Green's function are obtained, which allow to define a different kind of cone that, as far as we know, has not been previously used in the literature. The main arguments are based on the fixed point index theory for bounded and unbounded sets. Some examples are presented in order to show that the different existence theorems proved are not comparable
PB The International Scientific Research Publications (ISRP)
SN 2008-1898
YR 2017
FD 2017-10-28
LK http://hdl.handle.net/10347/16785
UL http://hdl.handle.net/10347/16785
LA eng
NO A. Cabada, Lucía L.-Somoza, F. Minhós, Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem, Journal of Nonlinear Science and Applications, 10 (2017), 5445–5463
DS Minerva
RD 29 abr 2026