Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet

    Authors

    R. A. Van Gorder; K. Vajravelu;F. T. Akyildiz

    Comments

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    Abbreviated Journal Title

    Appl. Math. Lett.

    Keywords

    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

    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, 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.

    Journal Title

    Applied Mathematics Letters

    Volume

    24

    Issue/Number

    2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    238

    Last Page

    242

    WOS Identifier

    WOS:000284659500030

    ISSN

    0893-9659

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