RT Journal Article
T1 Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay D.
K1 Inverse discrete problem
K1 Difference equation
K1 Green’s function
K1 Spectral radious
AB This paper is concerned with the existence of solutions of an inverse discrete problemwith sign-changing nonlinearity. This kind of problems includes, as a particular case,nth order difference equations coupled with suitable conditions on the boundary ofthe interval of definition. It would be valid for the case in which the related Green’sfunction is positive on a subset of its rectangle of definition.The existence results follow from spectral theory, as an application of theKrein–Rutman theorem and by means of degree theory
PB Springer
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21099
UL http://hdl.handle.net/10347/21099
LA eng
NO Cabada, A., Dimitrov, N.D. Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities. Adv Differ Equ 2019, 450 (2019). https://doi.org/10.1186/s13662-019-2383-y
NO First author is partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grantMTM2016-75140-P. The second author is supported by the Bulgarian National Science Foundation under Project DN 12/4“Advanced analytical and numerical methods for nonlinear differential equations with applications in finance andenvironmental pollution”
DS Minerva
RD 24 abr 2026