Accession Number:

AD0662738

Title:

A CLASS OF NONLINEAR EIGENVALUE PROBLEMS.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1967-08-01

Pagination or Media Count:

44.0

Abstract:

The report considers the nonlinear eigenvalue problem A - Blambdax 0 in a Hilbert space, where A or 0 is compact and Blambda is a polynomial with nonnegative operator coefficients, satisfying B0 0. It is shown that if A and Blambda are in certain operator classes, then there exists an unconditional basis of the Hilbert space consisting of eigenvectors x corresponding to nonnegative eigenvalues lambda. It is also shown that the nonnegative eigenvalues can be characterized by variational principles. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE