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

Authors :: Rongrong Tian
Liang Ding
Jinlong Wei
Source :: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Publication Year :: 2021
Publisher :: SpringerOpen, 2021.
Abstract: 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.

Subjects :: Class (set theory)
Algebra and Number Theory
Partial differential equation
Applied Mathematics
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Critical points
Linking theorem
Infinity
Quadratic equation
Discrete systems
Ordinary differential equation
QA1-939
Applied mathematics
Order (group theory)
Nontrivial periodic solutions
Analysis
Mathematics
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