Eine Kleine Eigenvalue Problem (A Simple but Informative Nonlinear Eigenvalue Problem),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1983
- Accession Number
- ADP001019
Entities
People
- Bernard A. Fleishman
- Paul W. Davis
Organizations
- Rensselaer Polytechnic Institute