Davies-Harrell representations, Otelbaev's inequalities and properties of solutions of Riccati equations

DOI10.1016/j.jmaa.2006.10.092zbMath1134.34029OpenAlexW1979288092MaRDI QIDQ996886

L. A. Shuster, N. A. Chernyavskaya

Publication date: 19 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.092

zbMATH Keywords

Green functionsRiccati equationsSturm-Liouville operator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Spaces admissible for the Sturm-Liouville equation ⋮ On the speed at which solutions of the Sturm-Liouville equation tend to zero

Cites Work

• A criterion for the resolvent of a Sturm-Liouville operator to be kernel
• Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
• Estimates for the Green function of a general Sturm-Liouville operator and their applications
• Asymptotics on the Diagonal of the Green Function of a Sturm-Liouville Operator and its Applications
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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