International Journal of Mathematics and Mathematical Sciences 
Volume 18 (1995), Issue 4, Pages 689-700
doi:10.1155/S0161171295000883

Constructive solution of coupled second order delay differential equations with variable coefficients

R. J. Villanueva,1 A. Hervas,1 and M. V. Ferrer2

 1Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, P O Box 22 012, Valencia, Spain
2Dpto de Matemáticas e Informática, Univ Jaume L Campus de Penyeta Rotja, Castellón, Spain
Received 3 August 1993; Revised 13 September 1993

Abstract

In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. Then, in a bounded domain, a finite analytic solution with error bounds is provided. Given an admissible error ϵ we give the number of terms to be taken in the infinite series exact solution so that the approximation error be smaller than in the bounded domain.