Robert M. Houck & Stephen B. Robinson
Abstract:
In this paper we prove an existence and uniqueness theorem for the
singular nonlinear boundary-value problem
where
,
is a positive constant, and
is a positive function in
.
Moreover, we derive asymptotic estimates describing the
behavior of the solution and its derivative at the boundary.
Published July 10, 2000.
Math Subject Classifications: 34B15.
Key Words: Singular nonlinear boundary value problems,
existence and uniqueness, asymptotic estimates.
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Stephen B. Robinson
Department of Mathematics and Computer Science
Wake Forest University
Winston-Salem, NC 27109, USA
e-mail: robinson@mthcsc.wfu.edu