J Austral Math Soc Ser B 37 pp58--85, 1995.

General iterative methods for nonlinear boundary value problems

Radha Shridharan and Ravi P. Agarwal

(Received 22 June 1993; revised 10 September 1993)

Abstract

In this paper we shall develop existence-uniqueness as well as constructive theory for the solutions of systems of nonlinear boundary value problems when only approximations of the fundamental matrix of the associated homogeneous linear differential systems are known. To make the analysis widely applicable, all the results are proved component-wise. An illustration which dwells upon the sharpness as well as the importance of the obtained results is also presented.

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Authors

Radha Shridharan: BLK 112, Tampines Street 11, # 08-195, Singapore 1852.
Ravi P. Agarwal: Department of Mathematics, National University of Singapore, Singapore 0511 for correspondence.

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Last Modified: Mon Dec 10 11:52:56 2001