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Title: Existence-uniqueness and iterative methods for third-order boundary value problems
Authors: Agarwal, R.P. 
Keywords: existence and uniqueness
iterative methods
method of chasing
Third-order differential equations
three-point boundary conditions
Issue Date: Mar-1987
Citation: Agarwal, R.P. (1987-03). Existence-uniqueness and iterative methods for third-order boundary value problems. Journal of Computational and Applied Mathematics 17 (3) : 271-289. ScholarBank@NUS Repository.
Abstract: In this paper we shall provide necessary and sufficient conditions for the existence and uniqueness of solutions of third-order nonlinear differential equations satisfying three-point boundary conditions. For the linear case, we propose a constructive method which is a variation of the method of chasing. For the nonlinear problems sufficient conditions are provided to ensure the convergence of a general class of iterative methods. Several examples are also included. © 1987.
Source Title: Journal of Computational and Applied Mathematics
ISSN: 03770427
Appears in Collections:Staff Publications

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