Bifurcation from Simple Eigenvalues for Several Parameter Families.
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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If lambda lambda sub 1,..., lambda sub N an element of the set R to the nth power, B,A sub 1,..., A sub N are bounded linear operators from a Banach space X to a Banach space Z, the concept of a simple eigenvalue for the operator B - the sum from j 1 to j N of lambda sub j A sub j is defined. It is then shown that bifurcation always occurs at simpe eigenvalues and the results are applied to a second order ordinary differential equation with boundary conditions at three distinct points. Author
- Theoretical Mathematics