Limit-point criteria for polynomials in a non-oscillatory expression

DOI10.1017/S0308210500019454zbMath0347.34014OpenAlexW2492434278MaRDI QIDQ4116735

Thomas T. Read

Publication date: 1976

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/s0308210500019454

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (9)

Principal Solutions Revisited ⋮ The deficiency indices of powers of second order expressions with large leading coefficient ⋮ Factorization and discrete spectra for second-order differential expressions ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ POWERS OF REAL SYMMETRIC DIFFERENTIAL EXPRESSIONS WITHOUT SMOOTHNESS ASSUMPTIONS ⋮ Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms ⋮ Levinson's limit-point criterion and powers ⋮ PRODUCTS OF DIFFERENTIAL EXPRESSIONS WITHOUT SMOOTHNESS ASSUMPTIONS ⋮ A LIMIT-POINT CRITERION FOR REAL POLYNOMIALS IN SYMMETRIC QUASI-DIFFERENTIAL EXPRESSIONS OF ARBITRARY ORDER

Cites Work

• Spectral operators
• Self-Adjointness and Spectra of Sturm-Liouville Operators.
• On the Integrable-Square Classification of Ordinary Symmetric Differential Expressions
• On the Limit Point Condition for Polynomials in a Second Order Differential Expression
• On the Square of a Formally Self-Adjoint Differential Expression
• On Some Properties of the Powers of a Formally Self-Adjoint Differential Expression
• LIMIT-CIRCLE DIFFERENTIAL EXPRESSIONS OF THE SECOND ORDER WITH AN OSCILLATING COEFFICIENT

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