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|Title:||Existence-uniqueness and iterative methods for third-order boundary value problems|
|Keywords:||existence and uniqueness|
method of chasing
Third-order differential equations
three-point boundary conditions
|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|
|Appears in Collections:||Staff Publications|
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