Ni Ming Kang, A.B. Vasil'eva, M.G. Dmitriev, Equivalence of Two Sets of Transition Points Corresponding to Solutions with Interior Transition Layers

Title: Equivalence of Two Sets of Transition Points Corresponding to Solutions with Interior Transition Layers
Authors: Ni Ming Kang, A.B. Vasil'eva, M.G. Dmitriev
Journal title: Mathematical Notes
Year: 2006
Issue: 1
Volume: 79
Pages: 109–115
Citation:

Ni Ming Kang, A. B. Vasil'eva, M. G. Dmitriev, “Equivalence of Two Sets of Transition Points Corresponding to Solutions with Interior Transition Layers”, Mathematical Notes, 2006, 79:1, 109–115

Abstract:

We establish the equivalence of two sets of transition points corresponding to solutions of singularly perturbed boundary-value problems with interior boundary layers. The first set appears in the formalism for constructing the asymptotics of the solution of a boundary-value problem and the second, in the direct scheme formalism for constructing the asymptotics of the solution of a variational problem.