PROJECTION METHODS FOR NONLINEAR NODAL PROBLEMS

The work produces some degree-theoretic and operator-theoretic tools for the study of projection methods associated with nonlinear nodal problems. The numerical procedure is outlined for the case of sublinear and superlinear nodal problems.

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 1977, Vol.7 (3), p.569-608
Main Authors: BATES, P. W., GUSTAFSON, G. B.
Format: Article
Language:English
Subjects:
Banach space
Concavity
Continuous functions
Differential equations
Integrands
Mathematical functions
Perceptron convergence procedure
Topology
Uniqueness
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Description
Summary:The work produces some degree-theoretic and operator-theoretic tools for the study of projection methods associated with nonlinear nodal problems. The numerical procedure is outlined for the case of sublinear and superlinear nodal problems.
ISSN:0035-7596
1945-3795
DOI:10.1216/RMJ-1977-7-3-569