This paper describes all normal boundary value problem for the indicated diferential expression in terms of abstnract boundary conditions and determines a connection with other typea of boundary value problems.
📌 3 Key Takeaways
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Objective & Hypothesis:In this work the arbitrary order differential operator expression of the form $imath$ (u) = $frac{partial u(t)}{partial t^n}$+Au(t), where A is a bounded normal operator in the Hilbert Space H is considered in the Hilbert Space of vector functions $L_2$(H(0,1)).
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Key Findings & Data:In this work the arbitrary order differential operator expression of the form $imath$ (u) = $frac{partial u(t)}{partial t^n}$+Au(t), where A is a bounded normal operator in the Hilbert Space H is considered in the Hilbert Space of vector functions $L_2$(H(0,1)).
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Conclusion & Impact:This paper describes all normal boundary value problem for the indicated diferential expression in terms of abstnract boundary conditions and determines a connection with other typea of boundary value problems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this work the arbitrary order differential operator expression of the form $imath$ (u) = $frac{partial u(t)}{partial t^n}$+Au(t), where A is a bounded normal operator in the Hilbert Space H is considered in the Hilbert Space of vector functions $L_2$(H(0,1)). This paper describes all normal boundary value problem for the indicated diferential expression in terms of abstnract boundary conditions and determines a connection with other typea of boundary value problems.
Özet
Bu çalışmada l(u)=$frac{d^n u(t)}{dt^u}$+Au(t),A ber H Hilbert uzayı ve A $L_2$(H,(0,1))üzerinde sınırlı, normal bir operatör, tipi difransiye denklemlerin normal sınır değer problemleri soyut bir çerçevede ele alınmış ve değişik sınır değer problemleriyle ilişkileri üzerinde durulmuştur.
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Cite This Article
MAKSUDOV, F. G., ISMAILOV, Z. I. (2022). Derecesi büyük diferansiyel denklemler için normal sınır değer problemleri. Turkish Journal of Mathematics, Cilt: 20 - Sayı: 2, 141–151. https://ajindex.com/articles/608658