Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 2

Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation

Pages
351–362
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results generalize and improve some known ones.

📌 3 Key Takeaways

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Objective & Hypothesis:By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to a 2nth-order nonlinear difference equation.
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Key Findings & Data:The proof is based on the Linking Theorem in combination with variational technique.
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Conclusion & Impact:Our results generalize and improve some known ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Periodic and subharmonic solutions · 2nth-order · Nonlinear difference equations

Abstract

By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Linking Theorem in combination with variational technique. Our results generalize and improve some known ones.

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Cite This Article

ZHANG, Y., SHİ, H., LİU, X. (2022). Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 2, 351–362. https://ajindex.com/articles/530294

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