RT Journal Article
T1 Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay
K1 Dirichlet boundary value problem
K1 Nonlocal perturbations
K1 Green's function
K1 Parameter dependence
AB This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.
PB Elsevier
SN 0252-9602
YR 2017
FD 2017-07-01
LK https://hdl.handle.net/10347/45455
UL https://hdl.handle.net/10347/45455
LA eng
NO Alberto CABADA, Nikolay D. DIMITROV, Existence of solutions of nonlocal perturbations of dirichlet discrete nonlinear problems, Acta Mathematica Scientia, Volume 37, Issue 4, 2017, Pages 911-926, ISSN 0252-9602, https://doi.org/10.1016/S0252-9602(17)30047-4. 
NO This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1016/S0252-9602(17)30047-4
NO A. Cabada was partially supported by Ministerio de Educación y Ciencia, Spain, and FEDER, Projects MTM2013-43014-P and MTM 2016-75140-P.
DS Minerva
RD 27 abr 2026