Regularity of the inversion problem for the Sturm-Liouville difference equation

DOI10.1006/JMAA.2000.6773zbMath0961.39001OpenAlexW2082237839MaRDI QIDQ1577974

L. A. Shuster, N. A. Chernyavskaya

Publication date: 15 October 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6773

zbMATH Keywords

regularityGreen difference functioninversion problemSturm-Liouville difference equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (4)

Regularity of the inversion problem for the Sturm-Liouville difference equation. II: Two-sided estimates for the diagonal value of the Green function ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation IV. Stability conditions for a three-point difference scheme with non-negative coefficients ⋮ Stability and absolute stability of a three-point difference scheme

Cites Work

• Estimates for Green's function of the Sturm-Liouville operator
• Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
• Estimates for the Green function of a general Sturm-Liouville operator and their applications
• Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem
• Regularity of the inverse problem for a Sturm-Liouville equation in \(L_p(\mathbb{R})\)
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