Green's function for ordinary differential operators

DOI10.1016/0022-0396(70)90096-3zbMath0198.12102OpenAlexW2087645512MaRDI QIDQ2540337

Harold E. Benzinger

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90096-3

zbMATH Keywords

ordinary differential equations

Related Items (28)

Equisummability of eigenfunction expansions under analytic multipliers ⋮ Pointwise and Norm Convergence of a Class of Biorthogonal Expansions ⋮ A Canonical Form for a Class of Ordinary Differential Operators ⋮ Boundary problems for ordinary differential equations with parameter in the boundary conditions ⋮ Kernels and equisummation properties of uniformly elliptic operators ⋮ Resolvent growth and Birkhoff-regularity ⋮ On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter ⋮ Irregular boundary value problem for the Sturm-Liouville operator ⋮ Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen ⋮ New multiplier methods for summing classical eigenfunction expansions ⋮ Functional analysis - 4 ⋮ Equiconvergence theorems for differential operators ⋮ Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\) ⋮ Boundary value problem for second-order differential operators with integral conditions ⋮ Regular and completely regular differential operators ⋮ Boundary value problem for second-order differential operators with nonregular integral boundary conditions ⋮ Irregular boundary value problems revisited ⋮ Completeness of Eigenvectors in Banach Spaces ⋮ Eigenvalues of regular differential operators ⋮ Stone-reguläre Eigenwertprobleme ⋮ On the definition of Stone-regularity ⋮ An extension of Cauchy's criterion to Nörlund summability ⋮ Perturbation of the heat equation ⋮ Strongly irregular boundary value problems ⋮ On the use of Green's function in sampling theory ⋮ Equiconvergence for singular differential operators ⋮ Derived Birkhoff-Series associated with \(N(y)=\lambda P(y)\) ⋮ Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel

Cites Work

• On the zeros of exponential sums and integrals
• The Two-Point Boundary Problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item

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