Abstract
In this paper, we extend the existence of travelling wave solutions of a nonlinear operator in the inferior case to higher dimensions and establish the uniqueness of that solution. In addition we determine the sign of the wave speed in a special case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Halmos, P. R.: A Hubert Space Problem Book. D. Van Nostrand Co., Inc., Princeton, N.J. 1967
Karlin, S.: Positive operators. J. Math. Mech. 8, 907–937 (1959)
Lui, R.: Existence and stability of travelling wave solutions of a nonlinear integral operator. J. Math. Biol. 16, 199–220 (1983)
Weinberger, H. F.: Long time behavior of a class of biological models. SIAM J. Math. Analysis 13, 353–396 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Creegan, P., Lui, R. Some remarks about the wave speed and travelling wave solutions of a nonlinear integral operator. J. Math. Biology 20, 59–68 (1984). https://doi.org/10.1007/BF00275861
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00275861