The Existence of Multiple Periodic Solutions to a Class of Fourth-Order Difference Equations

The Existence of Multiple Periodic Solutions to a Class of Fourth-Order Difference Equations

In this paper, we study the multiplicity of periodic solutions for a class of fourth-order difference equations. We estimate a lower bound on the number of periodic solutions when the nonlinearity is asymptotic both at the origin and at infinity. Our results generalize the reference’ results.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical problems in engineering 2022-09, Vol.2022, p.1-9
Hauptverfasser: Wu, Haoxin, Tan, Zixian, Hu, Xinfei, Xiao, Huafeng
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Difference equations
Eigenvalues
Hilbert space
Lower bounds
Mathematical analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we study the multiplicity of periodic solutions for a class of fourth-order difference equations. We estimate a lower bound on the number of periodic solutions when the nonlinearity is asymptotic both at the origin and at infinity. Our results generalize the reference’ results.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/7694885