Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation

Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation

In the present paper, with the combination of a compactness lemma and variational techniques, we establish a sufficient condition to guarantee the existence of two nontrivial homoclinic solutions for a nonperiodic fourth-order difference equation with a perturbation. Our result generalizes and impro...

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Bibliographic Details
Main Author: Yuhua Long
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
nonperiodic fourth-order difference equation
homoclinic solution
mountain pass theorem
variational technique
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021281?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021281?viewType=HTML

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