The Generalized Green's Function For An nth Order Linear Differential Operator

DOI10.2307/1998529zbMath0358.34018OpenAlexW4229684636MaRDI QIDQ4130386

John Locker

Publication date: 1977

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998529

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

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An explicit formulation of the Green's operator for general one-dimensional structures ⋮ Ordinary and generalized Green's functions for the second order discrete nonlocal problems ⋮ Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Generalized Green's functions for \(m\)th-order discrete nonlocal problems ⋮ Regularization with differential operators. I: General theory ⋮ Generalized inverses of random linear operators in Banach spaces ⋮ GREEN’S MATRICES FOR FIRST ORDER DIFFERENTIAL SYSTEMS WITH NONLOCAL CONDITIONS∗ ⋮ Generalized boundary value problems for ordinary differential operators and least squares solutions

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