Existence of Standing Waves for Competition-Diffusion Equations

Show full item record

Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/29555

Title: Existence of Standing Waves for Competition-Diffusion Equations
Author: Kan-On, Yukio
Abstract: In this paper, we shall consider the competition-diffusion equation with Lotka-Volterra type, and establish an existence theorem of a parameter family of standing waves which exponentially decay to a stable equilibrium point in the ODE sense. To do it, we shall employ the maximum principle and the bifurcation method for heteroclinic and homoclinic orbits.
Description: 1991 Mathematics Subject Classification. 34C37.
Type: Pre-print
URI: http://hdl.handle.net/1853/29555
Date: 1994
Contributor: Georgia Institute of Technology. School of Mathematics
Ehime University. Dept. of Mathematics
Relation: CDSNS94-158
Publisher: Georgia Institute of Technology
Subject: Maximum principle
Exponential dichotomy
Bifurcation of homoclinic orbit

All materials in SMARTech are protected under U.S. Copyright Law and all rights are reserved, unless otherwise specifically indicated on or in the materials.

Files in this item

Files Size Format View
94-158.pdf 212.6Kb PDF View/ Open

This item appears in the following Collection(s)

Show full item record