Vol. 104, No. 1, 1983

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A characterization of a Neuberger type iteration procedure that leads to solutions of classical boundary value problems

Thomas H. Pate, Jr

Vol. 104 (1983), No. 1, 191–204
Abstract

Recent papers of Neuberger and Pate have been concerned with iteration procedures for solving non-linear partial differential equations. Up to this time it has not been clear how to apply these methods to the solution of boundary value problems. In this paper we characterize the solutions obtained by applying one of these methods and then use this characterization to derive solutions to the classical boundary value problems.

Mathematical Subject Classification 2000
Primary: 35A35
Secondary: 35C10
Milestones
Received: 11 April 1979
Published: 1 January 1983
Authors
Thomas H. Pate, Jr