Local and Global Bifurcation from Normal Eigenvalues
Document Type
Article
Publication Date
4-1976
Abstract
This paper studies the bifurcation of solutions of nonlinear eigenvalue problems of the form Lu = λu + H(λ,u), where L is linear and H is o(∥u∥) on bounded λ intervals. It is shown that isolated normal eigenvalues of L having odd algebraic multiplicity are bifurcation points, and moreover possess branches of solutions which satisfy an alternative theorem. A related situation is studied, and an application explored.
Source Publication
Pacific Journal of Mathematics (ISSN 0030-8730)
Recommended Citation
MacBain, J. (1976). Local and global bifurcation from normal eigenvalues. Pacific Journal of Mathematics, 63(2), 445–466. https://doi.org/10.2140/pjm.1976.63.445
COinS
Comments
© Copyright 1976 Pacific Journal of Mathematics. All rights reserved.
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This is the first of two articles. See also scholar.afit.edu/facpub/3053