Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 4

Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

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Publication Date
2015-08-01
DOI
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AI Summary & Key Takeaways

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

Our results generalize and complement the results in the literature. 

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, a fourth-order nonlinear difference equation is considered.
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Key Findings & Data:By making use of the critical point theory, we establish various sets of sufficient conditions for the existence and nonexistence of solutions for Dirichlet boundary value problem and give some new results.
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Conclusion & Impact:Our results generalize and complement the results in the literature. 
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Existence and nonexistence · Dirichlet boundary value problem · Fourth-order

Abstract

In this paper, a fourth-order nonlinear difference equation is considered. By making use of the critical point theory, we establish various sets of sufficient conditions for the existence and nonexistence of solutions for Dirichlet boundary value problem and give some new results. Our results generalize and complement the results in the literature. 

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Cite This Article

Liu, X., Zhang, Y., Shi, H. (2015). Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 4. https://ajindex.com/articles/1403263

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