Abstract and Applied Analysis
Volume 5 (2000), Issue 2, Pages 65-83
doi:10.1155/S1085337500000300
Homoclinic solutions for linear and linearizable ordinary differential equations
Department of Mathematics, University of Craiova, A.I. Cuza Street 13, Craiova 1100, Romania
Received 2 July 2000
Copyright © 2000 Cezar Avramescu and Cristian Vladimirescu. 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.
Abstract
Using functional arguments, some existence results for the
infinite boundary value problem x˙=F(t,x),x(−∞)=x(+∞) are given. A solution of this problem is frequently called, from Poincaré, homoclinic.