Accession Number:

ADA031934

Title:

Bifurcation for Odd Potential Operators and an Alternative Topological Index.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-08-01

Pagination or Media Count:

35.0

Abstract:

A bifurcation theorem is proved for odd potential operators. The operator equation FU Lu Hu lambda u is treated where lambda is a member of IR and u is a member of E, a real Hilbert space. A sharp description is given to the structure of the set of solutions of near a bifurcation point as a function of lambda. A cruical role is played here by a notion of topological index alternative to other indices used in critical point theory and the properties of this index are developed in some detail.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE