On the transformation theory of ordinary second-order linear symmetric differential expressions

DOI10.21136/cmj.1982.101802zbMath0526.34026OpenAlexW630638862MaRDI QIDQ3041550

W. Norrie Everitt

Publication date: 1982

Full work available at URL: https://eudml.org/doc/13312

zbMATH Keywords

isometric transformationsLiouville-transformationsecond-order linear symmetric differential expressions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30)

Related Items

Global theory of ordinary linear homogeneous differential equations in the real domain. I ⋮ Global theory of ordinary linear homogeneous differential equations in the real domain. II ⋮ Computing eigenvalues of regular Sturm-Liouville problems ⋮ Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems ⋮ A unified construction of product formulas and convolutions for Sturm-Liouville operators ⋮ Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain ⋮ Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems ⋮ High order approximations of the eigenvalues of regular Sturm-Liouville problems ⋮ Recovery of multiple coefficients in a reaction-diffusion equation ⋮ Kramer analytic kernels and first-order boundary value problems

Cites Work

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• Disconjugacy criteria for self-adjoint differential systems
• Discrete and continuous boundary problems
• On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†
• A Note on the Dirichlet Condition for Second-Order Differential Expressions
• On a Class of Integral Inequalities
• ON NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF CARATHÉODORY SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• A GENERAL INTEGRAL INEQUALITY ASSOCIATED WITH CERTAIN ORDINARY DIFFERENTIAL OPERATORS
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
• On a Property of the M -Coefficient of a Secondorder Linear Differential Equation
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