Stability of the Radau IA and Lobatto IIIC methods for delay differential equations |
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Authors: | Toshiyuki Koto |
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Affiliation: | (1) Department of Computer Science and Information Mathematics, The University of Electro-Communications, 1-5-1, Chofugaoka, Chofu, Tokyo 182, Japan, e-mail: koto@im.uec.ac.jp , JP |
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Abstract: | Recently, we have proved that the Radau IA and Lobatto IIIC methods are P-stable, i.e., they have an analogous stability property to A-stability with respect to scalar delay differential equations (DDEs). In this paper, we study stability of those methods applied to multidimensional DDEs. We show that they have a similar property to P-stability with respect to multidimensional equations which satisfy certain conditions for asymptotic stability of the zero solutions. The conditions are closely related to stability criteria for DDEs considered in systems theory. Received October 8, 1996 / Revised version received February 21, 1997 |
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Keywords: | Mathematics Subject Classification (1991): 65L05 65L20 |
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