RT Journal Article
T1 Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay
K1 Difference equation
K1 Homoclinic solutions
K1 Positive solutions
K1 Parameter dependence
K1 Sign-changing Green's function
AB In this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.
PB Wiley
SN 0170-4214
YR 2018
FD 2018-04-16
LK https://hdl.handle.net/10347/44937
UL https://hdl.handle.net/10347/44937
LA eng
NO Cabada A, Dimitrov ND. Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function. Math Meth Appl Sci. 2018; 41: 4763–4775. https://doi.org/10.1002/mma.4929
NO This is the peer reviewed version of the following article: [Cabada A, Dimitrov ND. Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function. Math Meth Appl Sci. 2018; 41: 4763–4775], which has been published in final form at [https://doi.org/10.1002/mma.4929]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
NO First author was partially supported by AIE Spain and FEDER, grants MTM2013-43014-P, MTM2016-75140-P. The second author is supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution,” 2017.
DS Minerva
RD 18 abr 2026