Asymptotic methods for fourth-order differential equations

DOI10.1017/S0308210500012336zbMath0469.34042MaRDI QIDQ3922972

C. G. M. Grudniewicz

Publication date: 1980

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

zbMATH Keywords

deficiency indices

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

The asymptotic solution of linear differential systems ⋮ A Class of Singular Self-Adjoint Ordinary Differential Operators with Maximal Spectrum ⋮ Asymptotic theory for third‐order differential equations ⋮ A fourth order limit-3 expression with nonempty essential spectrum ⋮ The asymptotic behavior of solutions of ordinary differential equations in the degenerate case ⋮ A perturbation method and the limit-point case of even order symmetric differential expressions ⋮ Spectral analysis of fourth order differential operators III ⋮ Asymptotic theory and deficiency indices for differential equations of odd order

Cites Work

• Unnamed Item
• Asymptotics for a class of fourth order differential equations
• Asymptotics of the solutions to \([(ry)' - py'' + qy = \sigma y\)]
• Deficiency indices of fourth-order singular differential operators
• The limit-4 case of fourth-order self-adjoint differential equations
• The Limit-3 Case of Self-Adjoint Differential Expressions of the Fourth Order with Oscillating Coefficients
• On the Limit-Point Classification of Fourth-Order Differential Equations
• Some Positive Definite Differential Operators
• THE LIMIT-2 CASE OF FOURTH-ORDER DIFFERENTIAL EQUATIONS
• THE DEFICIENCY INDEX OF CERTAIN FOURTH-ORDER ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS
• On Limit-2 Fourth-Order Differential Operators