Abstract and Applied Analysis
Volume 7 (2002), Issue 1, Pages 1-27

Existence problems for homoclinic solutions

Cezar Avramescu

Department of Mathematics, University of Craiova, 13 AI Cuza street, Craiova 1100, Romania

Received 9 November 2001

Copyright © 2002 Cezar Avramescu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem x˙=f(t,x),x()=x(+), where x(±):=limt±x(t)n, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.