Abel-Gontscharoff boundary value problems

Authors:
Ravi P. Agarwal;Qin Sheng;Patricia J. Y. Wong
Affiliations:
Department of Mathematics, National University of Singapore Kent Ridge, Singapore 0511;Department of Mathematics, National University of Singapore Kent Ridge, Singapore 0511;Division of Mathematics, Nanyang Technological University Bukit Timah Road, Singapore 1025
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1993

Citing 4
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Abstract

In this paper, we shall provide necessary and sufficient conditions for the existence and uniqueness of solutions of general n^t^h order nonlinear differential equations satisfying Abel-Gontscharoff boundary conditions. Sufficient conditions which guarantee the convergence of a general class of iterative methods are provided. Computational aspects of these iterative methods are also discussed. An example which dwells upon the importance of the obtained results is also included.