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General iterative methods for nonlinear boundary value problems

Published online by Cambridge University Press:  17 February 2009

Radha Shridharan  and
Ravi P. Agarwal
Radha Shridharan
Affiliation:
BLK 112, Tampines Street 11, # 08–195, Singapore1852.
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 0511 for correspondence.
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Abstract

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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.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 1 , July 1995 , pp. 58 - 85
Copyright
Copyright © Australian Mathematical Society 1995

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