ON THE TITCHMARSH-WEYL THEORY OF ORDINARY SYMMETRIC ODD-ORDER DIFFERENTIAL EXPRESSIONS AND A DIRECT CONVERGENCE THEOREM

DOI10.1080/16073606.1982.9632261zbMath0501.34020OpenAlexW2065214829MaRDI QIDQ3966451

V. Krishna Kumar

Publication date: 1982

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1982.9632261

zbMATH Keywords

Green functionTitchmarsh-Weyl theorydirect convergence theoremsymmetric odd-order differential expressionsTitchmarsh-Weyl m- coefficients

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Green's functions for ordinary differential equations (34B27) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

On eigenfunction expansions of first-order symmetric systems and ordinary differential operators of an odd order

Cites Work

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• INTEGRABLE-SQUARE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS (II)
• Self-Adjoint Boundary value Problems on Finite Intervals
• SINGULAR DIFFERENTIAL EQUATIONS II; SOME SELF-ADJOINT EVEN ORDER CASES
• ON AN EIGENFUNCTION EXPANSION FOR A FOURTH-ORDER SINGULAR DIFFERENTIAL EQUATION
• Integrable-Square, Analytic Solutions of Odd-Order, Formally Symmetric, Ordinary Differential Equations
• ASYMPTOTIC EXPANSIONS AND DEFICIENCY INDICES ASSOCIATED WITH THIRD-ORDER SELF-ADJOINT DIFFERENTIAL OPERATORS
• INTEGRABLE-SQUARE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS (III)

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