Title

Existence And Uniqueness Results For A Nonlinear Differential Equation Arising In Viscous Flow Over A Nonlinearly Stretching Sheet

Keywords

Boundary layer problem; Existence and uniqueness theorems; Similarity solution; Stretching sheet; Viscous flow

Abstract

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,∞). 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. © 2010 Elsevier Ltd. All rights reserved.

Publication Date

2-1-2011

Publication Title

Applied Mathematics Letters

Volume

24

Issue

2

Number of Pages

238-242

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.aml.2010.09.011

Socpus ID

78049453918 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78049453918

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