This is a preview of subscription content, log in via an institution to check access.
Literature Cited
Yu. S. Kolesov and A. Yu. Kolesov, Biological and Physical Parabolic Systems. Mathematical Models in Biology and Medicine, Vilnius, Publishing House of the Institute of Mathematics and Cybernetics of the Academy of Sciences of the Lithuanian SSR (1987), pp. 5–25.
A. N. Tikhonov, “Systems of Differential Equations Containing Small Differential Parameters,” Mat. Sb.,31, 575–586 (1952).
A. B. Vasil'eva and V. F. Butuzov, Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).
A. Yu. Kolesov, Yu. S. Kolesov, and V. V. Maiorov, “The Reaction of Belousov: Mathematical Model and Experimental Facts,” Dynamics of Biological Populations, Gorkii, Publishing House of Gorkii State University (1987), pp. 3–12.
S. A. Lomov, Introduction to the General Theory of Singular Perturbations [in Russian], Nauka, Moscow (1981).
A. B. Vasil'eva, “Asymptotic behavior of solutions of certain problems for ordinary nonlinear differential equations with a small parameter for a higher derivative,” Usp. Mat. Nauk,18, No. 3, 15–86 (1963).
Additional information
Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 3, pp. 175–179, May–June, 1989.
Rights and permissions
About this article
Cite this article
Kolesov, A.Y. A stability criterion for traveling waves in parabolic systems with small diffusion. Sib Math J 30, 484–488 (1989). https://doi.org/10.1007/BF00971506
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00971506