RT Journal Article
T1 Nonlinear perturbed integral equations related to nonlocal boundary value problems
A1 Cabada Fernández, Alberto
A1 Infante, Gennaro
A1 Fernández Tojo, Fernando Adrián
K1 Perturbed integral equation
K1 Nonlocal differential equation
K1 Nonlinear boundary condition
K1 Nontrivial solution
K1 Fixed point index
K1 Cone
AB By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equations. These type of integral equations arise, for example, when dealing with boundary value problems where nonlocal terms occur in the differential equation and/or in the boundary conditions. Some examples are given to illustrate the theoretical results.
PB Department of Mathematics  Babeş-Bolyai University Cluj-Napoca
SN 1583-5022
YR 2018
FD 2018-02-01
LK https://hdl.handle.net/10347/44941
UL https://hdl.handle.net/10347/44941
LA eng
NO Alberto Cabada, Gennaro Infante and F. Adrián F. Tojo, Nonlinear perturbed integral equations related to nonlocal boundary value problems. Fixed Point Theory, Volume 19, No. 1, 2018, 65-92, February 1st, 2018
NO A. Cabada and F. A. F. Tojo were partially supported by Ministerio de Educacion y Ciencia, Spain, and FEDER, Project MTM2013-43014-P. F. A. F. Tojo was partially supported by Xunta de Galicia (Spain), project EM2014/032; FPU scholarship, Ministerio de Educacion, Cultura y Deporte, Spain and a Fundaci on Barrie Scholarship. G. Infante was partially supported by G.N.A.M.P.A. - INdAM (Italy).
DS Minerva
RD 24 abr 2026