Accession Number:

ADA045841

Title:

Bifurcation from Simple Eigenvalues for Several Parameter Families.

Descriptive Note:

Interim rept.,

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1977-08-11

Pagination or Media Count:

16.0

Abstract:

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE