Abstract
The multiple existences and their stability properties of stationary solutions with a single transition layer in some scalar reaction-diffusion equation are shown. Each solution is constructed by using classical singular perturbation methods and its stability property is determined by a simple algebraic quantity, say index, appearing in the construction of a solution.
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Ikeda, H. Stability characteristics of transition layer solutions. J Dyn Diff Equat 5, 625–671 (1993). https://doi.org/10.1007/BF01049142
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DOI: https://doi.org/10.1007/BF01049142