Periodic solutions for second-order difference equations with quadratic–supquadratic condition

Periodic solutions for second-order difference equations with quadratic–supquadratic condition

In this paper, we consider the existence of multiple periodic solutions for a class of second-order difference equations with quadratic–supquadratic growth condition at infinity. Moreover, we give three examples to illustrate our main result.

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Veröffentlicht in:Advances in difference equations 2021-09, Vol.2021 (1), p.1-11, Article 406
Hauptverfasser: Ding, Liang, Tian, Rongrong, Wei, Jinlong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Critical points
Difference and Functional Equations
Difference equations
Discrete systems
Functional Analysis
Linking theorem
Mathematical analysis
Mathematics
Mathematics and Statistics
Nontrivial periodic solutions
Ordinary Differential Equations
Partial Differential Equations
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Zusammenfassung:In this paper, we consider the existence of multiple periodic solutions for a class of second-order difference equations with quadratic–supquadratic growth condition at infinity. Moreover, we give three examples to illustrate our main result.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03560-0