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Real Self-Adjoint Sturm–Liouville Problems

Mohamed A. El-Gebeily, Khaled M. Furati

Open publisher page 9 citations

Abstract

In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

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What this paper is about

In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

Key concepts: Sturm–Liouville theory, Mathematics, Self-adjoint operator, Domain (mathematical analysis), Operator (biology), Boundary value problem, Boundary (topology), Mathematical analysis

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