Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 71717, 9 pages

Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

F. Talay Akyildiz1 and K. Vajravelu2

1Department of Mathematics, Arts and Science Faculty, Ondokuz Mayis University, Kurupelit Samsun 55139, Turkey
2Department of Mathematics, University of Central Florida, Orlando 32816, FL, USA

Received 23 December 2005; Revised 13 April 2006; Accepted 17 April 2006

Copyright © 2006 F. Talay Akyildiz and K. Vajravelu. 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.


Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically and salient features of the solutions are discussed.