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Local and global
bifurcation from normal eigenvalues
John Alan MacBain |
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Vol. 63 (1976), No. 2, 445–466
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Abstract |
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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. |
Mathematical Subject Classification
Primary: 47H15
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Milestones
Received: 15 May 1975
Revised: 2 December 1975
Published: 1 April 1976
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Authors |
| John Alan MacBain | |
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