Limit circle criteria for fourth order differential operators with an oscillatory coefficient

DOI10.1017/S0013091500006404zbMath0448.34031MaRDI QIDQ3894247

Ronald I. Becker

Publication date: 1981

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsdifferential operatorsoscillatory coefficientslimit circle type

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) General theory of ordinary differential operators (47E05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

RESONANT PERTURBATIONS OF HIGHER-ORDER HARMONIC OSCILLATION ⋮ Nonlinear fourth order boundary value problem ⋮ On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions

Cites Work

• Asymptotic Expansions of Second Order Linear Differential Equations Having Conditionally Integrable Coefficients
• ASYMPTOTIC EXPANSIONS OF FORMALLY SELF-ADJOINT DIFFERENTIAL EQUATIONS WITH CONDITIONALLY INTEGRABLE COEFFICIENTS
• Perturbations of Limit-Circle Expressions
• ASYMPTOTIC INTEGRATION AND THE L²-CLASSIFICATION OF SQUARES OF SECOND-ORDER DIFFERENTIAL OPERATORS
• ON THE LIMIT-POINT, LIMIT-CIRCLE CLASSIFICATION OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
• LIMIT-CIRCLE DIFFERENTIAL EXPRESSIONS OF THE SECOND ORDER WITH AN OSCILLATING COEFFICIENT

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