RT Journal Article
T1 Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
A1 Cabada Fernández, Alberto
A1 Infante, Gennaro
A1 Fernández Tojo, Fernando Adrián
K1 Nontrivial solutions
K1 Nonlocal boundary conditions
K1 Reflections
K1 Deviated argument
K1 Fixed point index
K1 Cone
AB We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fixed point index. Our approach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermostat problem. In the case of reflections we also discuss the optimality of some constants that occur in our theory. Some examples are presented to illustrate the theory
PB Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University
YR 2016
FD 2016-03-01
LK https://hdl.handle.net/10347/45629
UL https://hdl.handle.net/10347/45629
LA eng
NO CABADA, Alberto, INFANTE, Gennaro and TOJO, Fernando Adrian. Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Topological Methods in Nonlinear Analysis. Online. 1 March 2016. Vol. 47, no. 1, pp. 265 - 287. [Accessed 2 February 2026]. DOI 10.12775/TMNA.2016.005
NO The final publication is available at the TMNA webpage via https://doi.org/10.12775/TMNA.2016.005
NO A. Cabada was partially supported by FEDER and Ministerio de Educacion y Ciencia, Spain, projects MTM2010-15314 and MTM2013-43014-P. G. Infante was partially supported by G.N.A.M.P.A. – INdAM (Italy). F.A.F. Tojo was supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314, and by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
DS Minerva
RD 24 abr 2026