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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 3

Extensions of the matrix-valued q−Sturm–Liouville operators

Bilender PAŞAOĞLU ALLAHVERDİEV
Hüseyin TUNA
Pages
1479–1494
Publication Date
2022-11-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Finally, we characterize extensions (maximal dissipative, maximal accumulative, and self-adjoint) of the minimal symmetric operator.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate the matrix-valued q−Sturm–Liouville problems.
📊
Key Findings & Data:We establish an existence and uniqueness result.
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Conclusion & Impact:Finally, we characterize extensions (maximal dissipative, maximal accumulative, and self-adjoint) of the minimal symmetric operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate the matrix-valued q−Sturm–Liouville problems. We establish an existence and uniqueness result. Later, we introduce the corresponding maximal and minimal operators for this system. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we characterize extensions (maximal dissipative, maximal accumulative, and self-adjoint) of the minimal symmetric operator.

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Cite This Article

ALLAHVERDİEV, B. P., TUNA, H. (2022). Extensions of the matrix-valued q−Sturm–Liouville operators. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 3, 1479–1494. https://ajindex.com/articles/608690

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References (2)

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