On the number ofL2-solutions of second order linear differential equations

DOI10.1017/S0308210500010088zbMath0441.34008OpenAlexW2947816202MaRDI QIDQ3882758

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Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500010088

zbMATH Keywords

second order linear differential equationsL2-solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30)

Related Items (9)

Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Limit-point and limit-circle criteria for Sturm-Liouville equations with intermittently negative principal coefficients ⋮ Zero-energy bound state decay for non-local Schrödinger operators ⋮ A Sturm–Liouville problem depending rationally on the eigenvalue parameter ⋮ On stability conditions for second order linear differential equations ⋮ On essential self-adjointness for Schrödinger operators with wildly oscillating potentials ⋮ On the point spectra of complex Sturm—Liouville operators ⋮ On the location of eigenvalues of second order linear differential operators ⋮ Non-real eigenvalues of singular indefinite Sturm-Liouville operators

Cites Work

• Zur Spektraltheorie von Sturm-Liouville-Operatoren
• Bemerkungen zu dem Grenzpunktfallkriterium von N. Levinson
• On solutions of a differential equation which are not of integrable square
• The growth of the solutions of a differential equation
• ON A LIMIT-CIRCLE CRITERION FOR SECOND-ORDER DIFFERENTIAL OPERATORS
• Self-Adjointness and Spectra of Sturm-Liouville Operators.
• 11.—Limit-n Criteria of Integral Type
• A Limit-Point Criterion for a Second-Order Linear Differential Operator
• LIMIT-CIRCLE DIFFERENTIAL EXPRESSIONS OF THE SECOND ORDER WITH AN OSCILLATING COEFFICIENT
• On a Limit-Point Method of Hartman
• On the Normalization of Characteristic Differentials in Continuous Spectra
• (L 2 )-Connections Between the Potential and Kinetic Energies of Linear Systems
• Criteria of Non-Degeneracy for the Wave Equation
• Some Properties of a Differential Equation
• Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations

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