Bifurcation, Perturbation of Simple Eigenvalues and Linearized Stability.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. Author
- Theoretical Mathematics