Accession Number:

ADA125267

Title:

Some Remarks on the Continuation Method of Leray-Schauder-Rabinowitz and the Method of Monotone Iterations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1982-12-01

Pagination or Media Count:

18.0

Abstract:

Certain physical phenomena can be modelled by the nonlinear eigenvalue problem P. Under minimal assumptions on the nonlinear term, which may be of interest in some applications, the existence of solutions can be obtained by several known methods. The purpose of this paper is to compare two such methods, namely the continuation method due to Leray and Schauder as extended by Rabinowitz, and the method of monotone iterations. Our results are then applied to problem P.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE