Similarity solutions of differential equations for boundary layer approximations in porous media

This paper is concerned with the ordinary differential equation on (0, + ∞), subject to the boundary conditions in which a and b are reals, m > 0 and α < 0. Such problem, with arises in the study of the free convection, along a vertical flat plate embedded in a porous medium.The analysis deals with existence, non–uniqueness and large–t behaviour of solutions of the above problem under favourable conditions on m, α, a and b.Received: March 20, 2002; revised: January 17 and July 14, 2003