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Stability of BDF methods for nonlinear volterra integral equations with delay

✍ Scribed by C.J. Zhang; X.X. Liao

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 311 KB
Volume: 43
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00275-9

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✦ Synopsis

This paper deals with the stability analysis of the backward differential formulas (or BDF methods) for nonlinear Volterra integral equations with delay (VIDEs). The presented approach is based on a nonclassical Lipschitz condition. In particular, the criteria on the global and the asymptotic stability of the methods are given. (~) 2001 Elsevier Science Ltd. All rights reserved.

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