Accession Number : ADA185806

Title :   Existence and Stability of Transition Layers,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Hale, Jack K ; Sakamoto, Kunimochi

PDF Url : ADA185806

Report Date : Apr 1987

Pagination or Media Count : 61

Abstract : For a second order nonautonomous singularly perturbed ordinary differential equation with Neumann boundary conditions, the existence of single transition layer solutions is proved by using the method of Liapunov-Schmidt. The method also gives the stability of these solutions as an equilibrium point of a parabolic equation. Keywords: Theorem; Approximation(Mathematics); Linear operators; Eigenvalues.

Descriptors :   *DIFFERENTIAL EQUATIONS, *EIGENVALUES, *OPERATORS(MATHEMATICS), EQUATIONS, EQUILIBRIUM(GENERAL), LAYERS, LINEARITY, PARABOLAS, SOLUTIONS(GENERAL), STABILITY, TRANSITIONS, DIFFERENTIAL EQUATIONS, EIGENVALUES, EQUATIONS, EQUILIBRIUM(GENERAL), LAYERS, LINEARITY, OPERATORS(MATHEMATICS), PARABOLAS, SOLUTIONS(GENERAL), STABILITY, TRANSITIONS, PERTURBATION THEORY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE