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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 3

On a class of inverse problems for a heat equation with involution perturbation

Nasser Al-salti0000-0001-9726-4624
Mokhtar Kirane0000-0002-4867-7542
Berikbol T. Torebek0000-0002-2354-2377
Pages
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Publication Date
2019-06-15
DOI
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AI Summary & Key Takeaways

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

Convergence of the obtained solutions is also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions.
📊
Key Findings & Data:Proved theorems on existence and uniqueness of solutions to these problems are presented.
💡
Conclusion & Impact:Convergence of the obtained solutions is also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Inverse problems · heat equation · involution perturbation

Abstract

A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions. Proved theorems on existence and uniqueness of solutions to these problems are presented. Solutions are obtained in the form of series expansion using a set of appropriate orthogonal basis for each problem. Convergence of the obtained solutions is also discussed.

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Cite This Article

Al-salti, N., Kirane, M., Torebek, B. T. (2019). On a class of inverse problems for a heat equation with involution perturbation. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 3. https://ajindex.com/articles/1402782

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