Estimates for the Green function of a general Sturm-Liouville operator and their applications
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Publication:4235550
DOI10.1090/S0002-9939-99-05049-2zbMath0918.34032OpenAlexW1888313021MaRDI QIDQ4235550
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Publication date: 22 March 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05049-2
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Solvability in L p of the Neumann problem for a singular non‐homogeneous Sturm‐Liouville equation ⋮ Criteria for correct solvability of a general Sturm-Liouville equation in the space \(L_1(\mathbb R)\) ⋮ Spaces admissible for the Sturm-Liouville equation ⋮ An embedding theorem ⋮ An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation ⋮ Correct solvability, embedding theorems and separability for the Sturm-Liouville equation ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation. II: Two-sided estimates for the diagonal value of the Green function ⋮ On the speed at which solutions of the Sturm-Liouville equation tend to zero ⋮ Weighted Estimates for Solutions of the General Sturm-Liouville Equation and the Everitt-Giertz Problem. I ⋮ A criterion for correct solvability of the Sturm-Liouville equation in the space 𝐿_{𝑝}(𝑅) ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem ⋮ Davies-Harrell representations, Otelbaev's inequalities and properties of solutions of Riccati equations ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation ⋮ Methods of analysis of the condition for correct solvability in L p (ℝ) of general Sturm-Liouville equations
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