Ambrosetti-Prodi-type results for a class of difference equations with nonlinearities indefinite in sign

In this article, we are concerned with the periodic solutions of first-order difference equation Δu(t−1)=f(t,u(t))−s,t∈Z,(P)\Delta u\left(t-1)=f\left(t,u\left(t))-s,\hspace{1em}t\in {\mathbb{Z}},\hspace{1.0em}\hspace{1.0em}\left(P) where s∈Rs\in {\mathbb{R}}, f:Z×R→Rf:{\mathbb{Z}}\times {\mathbb{R}}...

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Bibliographic Details
Main Authors: Zhao Jiao, Ma Ruyun
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0470