Existence and uniqueness results for a third-order implicit differential equation
The purpose of this paper is to give sufficient conditions for the existence and uniqueness of solutions to the boundary value problem of a third-order implicit differential equation as follows: {f (t, u(t), u '(t), u '''(t)) = 0, 0 <= t <= 1 u(0) = u '(0) = u '(1) = 0. The lower and upper solutions method, maximum principle together with an iterative technique are employed. An example illustrates the application of results obtained. (C) 2008 Elsevier Ltd. All rights reserved.
existence uniqueness third-order implicit differential equation solution