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Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 8 Issue: 1

A Study on Fourth-Order Coupled Boundary Value Problems: Existence, Uniqueness and Approximations

Emirhan Hacıoğlu(TRAKYA ÜNİVERSİTESİ)0000-0003-0195-1935
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Yayın Tarihi
2025-03-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Additionally, we provide a numerical framework for approximating these solutions, offering practical insights for real-world applications.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study examines the existence and approximation of solutions for a coupled system of fourth-order boundary value problems (4th-BVPs), which model the interactions between two distinct but interrelated physical systems.
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Temel Bulgular & Veri:These coupled boundary value problems arise in various applications in engineering and physics, including the analysis of bending behaviors in beams and vibrations in interconnected structural components.
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Sonuç & Katkı:Additionally, we provide a numerical framework for approximating these solutions, offering practical insights for real-world applications.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fourth-order boundary value problem · Existence · Convergence

Abstract

This study examines the existence and approximation of solutions for a coupled system of fourth-order boundary value problems (4th-BVPs), which model the interactions between two distinct but interrelated physical systems. These coupled boundary value problems arise in various applications in engineering and physics, including the analysis of bending behaviors in beams and vibrations in interconnected structural components. By leveraging Green`s functions and building upon prior research in fourth-order differential equations, we derive sufficient conditions for the existence and uniqueness of solutions to the system. Additionally, we provide a numerical framework for approximating these solutions, offering practical insights for real-world applications.

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Bu Makaleye Atıf Yap

Hacıoğlu, E. (2025). A Study on Fourth-Order Coupled Boundary Value Problems: Existence, Uniqueness and Approximations. Fundamental Journal of Mathematics and Applications, Volume: 8 Issue: 1. https://doi.org/10.33401/fujma.1613301

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Kaynakça (8)

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