| Abstract: | This paper is concerned with existence, uniqueness and behaviour of the solutions of the autonomous third‐order non‐linear differential equation f?+(m+2)f f″?(2m+1)f′2=0 on ?+ with the boundary conditions f(0)=?γ, f′(∞)=0 and f″(0)=?1. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing‐up co‐ordinates to obtain a plane dynamical system. Copyright © 2004 John Wiley & Sons, Ltd. |
