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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 20 - Sayı: 3

Mathematical behavior of the solutions of a class of hyperbolic-type equation

Hiperbolik tipten bir denklemin çözümlerinin matematiksel davranışı

Erhan PİŞKİN
Hazal YÜKSEKKAYA
Pages
117–128
Publication Date
2018-10-29
DOI
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AI Summary & Key Takeaways

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

Under some suitable assumptions on the initial data and source term, we obtain nonexistence of global solutions for arbitrary initial energy.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider hyperbolic-type equations with initial and Dirichlet boundary conditions in a bounded domain.
📊
Key Findings & Data:In this paper, we consider hyperbolic-type equations with initial and Dirichlet boundary conditions in a bounded domain.
💡
Conclusion & Impact:Under some suitable assumptions on the initial data and source term, we obtain nonexistence of global solutions for arbitrary initial energy.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hyperbolic equation · nonexistence · damping term

Abstract

In this paper, we consider hyperbolic-type equations with initial and Dirichlet boundary conditions in a bounded domain. Under some suitable assumptions on the initial data and source term, we obtain nonexistence of global solutions for arbitrary initial energy.

Özet

Bu makalede sınırlı bir bölgede hiperbolik tipten başlangıç ve Dirichlet sınır koşullu problem ele alınmıştır. Başlangıç ve kaynak terim üzerine bırakılan bazı uygun koşullar altında çözümlerin global yokluğu keyfi başlangıç enerjisi için çalışılmıştır.

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Cite This Article

PİŞKİN, E., YÜKSEKKAYA, H. (2018). Mathematical behavior of the solutions of a class of hyperbolic-type equation. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 3, 117–128. https://ajindex.com/articles/251073

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