Accession Number : ADP001019

Title :   Eine Kleine Eigenvalue Problem (A Simple but Informative Nonlinear Eigenvalue Problem),

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Fleishman,Bernard A. ; Davis,Paul W.

Report Date : FEB 1983

Pagination or Media Count : 14

Abstract : This paper exhibits a number of interesting properties of nonlinear problems, some established here by elementary arguments. For each eigenvalue the authors find all eigenfunctions (an infinite number of them) in explicit form. As lambda increases through O, there is an exchange of stability: the trivial solution, formerly stable, becomes unstable while the maximum and minimal eigenfunctions (lambda greater than 0) are stable. The stability of non-extremal eigenfunctions is also discussed. (Author)

Descriptors :   *Nonlinear analysis, *Eigenvalues, *Problem solving, Eigenvectors, Iterations, Stability, Boundary value problems, Variables, Parameters

Distribution Statement : APPROVED FOR PUBLIC RELEASE