The Solutions of a Model Nonlinear Singular Perturbation Problem Having A Continuous Locus of Singular Points
Consider the boundary value problem εy″ =(y 2 − t 2)y′, −1 t0, y(−1) = A, y(0) = B. We discuss the multiplicity of solutions and their limiting behavior as ε→+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."
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Document Type: Research Article
Publication date: October 1, 1980