Criteria for correct solvability of a general Sturm-Liouville equation in the space \(L_1(\mathbb R)\)

DOI10.1007/S40574-017-0144-YzbMath1404.34019OpenAlexW2757418059MaRDI QIDQ1630520

Y. Aharonov

Publication date: 10 December 2018

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-017-0144-y

zbMATH Keywords

correct solvabilityspace \(L_1(\mathbb{R})\)

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• A criterion for the resolvent of a Sturm-Liouville operator to be kernel
• Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
• A criterion for correct solvability of the Sturm-Liouville equation in the space 𝐿_{𝑝}(𝑅)
• Estimates for the Green function of a general Sturm-Liouville operator and their applications
• Methods of analysis of the condition for correct solvability in L p (ℝ) of general Sturm-Liouville equations
• A criterion for correct solvability in L _p (ℝ) of a general Sturm-Liouville equation
• Regularity of the inverse problem for a Sturm-Liouville equation in \(L_p(\mathbb{R})\)

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