Remarks on some Dirichlet type results for semibounded Sturm-Liouville operators
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Publication:1214019
DOI10.1007/BF01350583zbMath0297.34019MaRDI QIDQ1214019
Publication date: 1974
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/162618
Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05)
Related Items (20)
On a Result of Brinck in the Limit-Point Theory of Second- Order Differential Expressions ⋮ On the strong limit-point and Dirichlet properties of second order differential expressions ⋮ Unnamed Item ⋮ On integral inequalities and compact embeddings associated with ordinary differential expressions ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ A note on Dirichlet-type criteria for complex Sturm-Liouville expressions ⋮ On the transformation theory of ordinary second-order linear symmetric differential expressions ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ On a class of integral systems ⋮ 18.—An Inequality of C. R. Putnam involving a Dirichlet Functional ⋮ Strong limit-point and Dirichlet criteria for ordinary differential expressions of order 2n ⋮ A second order Dirichlet differential expression that is not bounded below ⋮ Eigenfunction expansions and spectral matrices of singular differential operators ⋮ On a quadratic integral inequality ⋮ A GENERAL INTEGRAL INEQUALITY ASSOCIATED WITH CERTAIN ORDINARY DIFFERENTIAL OPERATORS ⋮ ON A DIRICBLET AND LIMIT-CIRCLE CRITERION FOR SECOND-ORDER ORDINARY DIFFERENTIAL EXPRESSIONS ⋮ A Singular Integral Inequality on a Bounded Interval ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS ⋮ On critical and subcritical Sturm-Liouville operators
Cites Work
- Strongly singular potentials and essential self-adjointness of singular elliptic operators in \(C^\infty_0(\mathbb{R}^n\setminus\{0\})\)
- Some remarks on a separation and limit-point criterion of second-order, ordinary differential expressions
- On the characterization of the Friedrichs extension of ordinary or elliptic differential operators with a strongly singular potential
- Self-adjointness for strongly singular potentials with \(a - {| x |}^2\) fall-off at infinity
- Green's transforms and singular boundary value problems
- Differential equations with non oscillatory eigenfunctions
- Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
- On the discreteness of spectra of singular Sturm-Liouville problems
- On the Limit-Point Classification of Second-Order Differential Operators
- A Limit-Point Criterion for Nonoscillatory Sturm-Liouville Differential Operators
- On a Limit Point Criterion of Weyl
- On the Momentum Operator in Wave Mechanics
- On the Solutions of a Linear Second Order Differential Equation Which Are of Integrable Square
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