Journal of Inequalities and Applications 
Volume 6 (2001), Issue 1, Pages 99-117
doi:10.1155/S1025583401000078

Special solutions of neutral functional differential equations

István Győri and Mihály Pituk

 Department of Mathematics and Computing, University of Veszprém, P.O. Box 158, Veszprém H-8201, Hungary
Received 11 October 1999; Revised 5 November 1999

Abstract

For a system of n nonlinear neutral functional differential equations we prove the existence of an n-parameter family of “special solutions” which characterize the asymptotic behavior of all solutions at infinity. For retarded functional differential equations the special solutions used in this paper were introduced by Ryabov.