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Regularity properties of one-leg methods for delay differential equations

โœ Scribed by Ai-Guo Xiao; Yi-Fa Tang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
541 KB
Volume
41
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R[1]-regularity and R[2]-regularity of one-leg methods for multidelay differential equations are introduced and studied. Some conditions guaranteeing Rill-regularity and R[2]-regularity of such methods applied to multidelay differential equations with some important structures are given. (~) 2001 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

Regularity properties of Runge-Kutta met
Regularity properties of Runge-Kutta methods for ordinary differential equations
โœ Z. Jackiewicz; R. Vermiglio; M. Zennaro ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 518 KB

We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p : 2, 3 and 4, where s is the