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Abstract
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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

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.