Volume 2, Number 3, Summer 1994
ON THE EXISTENCE OF
MULTIPLE SOLUTIONS OF A
BOUNDARY VALUE PROBLEM ARISING FROM
LAMINAR FLOW THROUGH A POROUS PIPE
CHUNQING LU
Abstract. The equation considered is a fourth order
nonlinear differential equation
with boundary conditions
It is shown that any solution of the boundary value problem
is analytic, and that there are at least two solutions for R < 0
and four solutions for sufficiently large R > 0. This equation
arises in studying laminar flow in a uniformly porous pipe.
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