Hiroshima Math. J. 35 (2005), 205–249
نویسندگان
چکیده
We study reaction-di¤usion systems of propagator-controller type in the one-dimensional unit interval. When propagator di¤uses slowly, we establish the existence of transition layer equilibria by using singular perturbation expansions and a Lyapunov-Schmidt reduction method. Our approach to the existence also enables us to simultaneously obtain a stability criterion for the layer equilibria.
منابع مشابه
A Correction and Improvement of a Theorem on Ordered Groups
5. I. Kaplansky, Projections in Banach algebras, Ann. of Math. vol. 53 (1951) pp. 235-249. 6. -, Rings of operators, University of Chicago mimeographed notes, 1955. 7. L. H. Loomis, An introduction to abstract harmonic analysis, D. van Nostrand, 1953. 8. T. Ogasawara and K. Yoshinaga, Extension of ^-application to unbounded operators, J. Sci. Hiroshima Univ. Ser. A. vol. 19 (1955) pp. 273-299. ...
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