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

Cezar Avramescu and Cristian Vladimirescu

 Department of Mathematics, University of Craiova, A.I. Cuza Street 13, Craiova 1100, Romania
Received 2 July 2000

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.