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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
Liu, X., Zhang, Y., Shi, H. (2015). Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 2. https://ajindex.com/articles/1403308