Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Appl. Math. Lett.
Boundary layer problem; Similarity solution; Viscous flow; Stretching; sheet; Existence and uniqueness theorems; BOUNDARY-LAYER EQUATIONS; HEAT-TRANSFER; VISCOELASTIC FLUID; MASS-TRANSFER; SUCTION; PLATE; Mathematics, Applied
We establish the existence and uniqueness results for a class of nonlinear third order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, infinity). These results generalize the results of Vajravelu and Cannon [K. Vajravelu, J.R. Cannon, Applied Mathematics and Computation 181 (2006) 609], where they considered the finite interval [0, R]. Also in this paper, we answer their open question of finding the existence and uniqueness results for the problem over the semi-infinite domain and discuss the properties of the solution. (C) 2010 Elsevier Ltd. All rights reserved.
Applied Mathematics Letters
"Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet" (2011). Faculty Bibliography 2010s. 2041.