The sign-regularity properties of a class of Green's functions for ordinary differential equations

DOI10.1016/0022-0396(69)90005-9zbMath0183.36102OpenAlexW2051258464MaRDI QIDQ2535566

J. M. Karon

Publication date: 1969

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(69)90005-9

zbMATH Keywords

ordinary differential equations

Related Items (14)

An extremal property of positive operators and its spectral implications ⋮ On the oscillation property of Green's function of a fourth-order discontinuous boundary-value problem ⋮ On Tschebycheffian spline functions ⋮ On the principle of exchange of stabilities in Rayleigh-Bénard convection, II-No-slip Boundary conditions ⋮ Spectral properties and oscillation theorems for mixed boundary-value problems of Sturm-Liouville type ⋮ One-dimensional boundary-value problems with operators not reducing the number of changes of sign. II ⋮ The sign-regularity properties of Green's functions for a special class of mixed boundary-value problems ⋮ A variation-diminishing generalized spline approximation method ⋮ The sign-regularity properties of a class of Green's functions for ordinary differential equations ⋮ Periodic boundary-value problems with cyclic totally positive Green's functions with applications to periodic spline theory ⋮ Total positivity, interpolation by splines, and Green's functions of differential operators ⋮ Spectral properties and oscillation theorems for periodic boundary-value problems of Sturm-Liouville type ⋮ Some multidimensional spline approximation methods ⋮ Pólya operators. I: Total positivity

Cites Work

• The sign-regularity properties of a class of Green's functions for ordinary differential equations
• Isoperimetric eigenvalue problems in algebras
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