Abstract

An iteration scheme is given for approximating solutions of boundary problems of the form Ly = f(x, y), Ty(x) = r, where L is an nth order linear differential operator, f is continuous, and T is a continuous linear operator from Cn-l(I) into Rn. The scheme is based on the condition that the Green's function G(x, s) for the associated linear problem Ly = 0, Ty = 0 exists and has sign independent of s. © 1981 American Mathematical Society.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1088-6826; 0002-9939

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 American Mathematical Society, All rights reserved.

Publication Date

01 Jan 1980

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