The Solutions of a Model Nonlinear Singular Perturbation Problem Having a Continuous Locus of Singular Points.
Abstract
Consider the boundary value problem epsilon y'' = (y-square - t-square)y', -1 < or = t < or = 0, y(-1) = A, y(0) = B. We discuss the multiplicity of solutions and their limiting behavior as epsilon approaches 0+ for certain choices of A and B. In particular, when A = 1, B = 0 a bifurcation analysis gives a detailed and fairly complete analysis. The interest here arises from the complexity of the set of turning points. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1979
- Accession Number
- ADA069530
Entities
People
- Gershon Kedem
- Michael Steuerwalt
- Seymour V. Parter
Organizations
- University of Wisconsin Madison Department of Computer Science