Stability of difference Volterra equations: Direct Liapunov method and numerical procedure

被引：29
作者：
Crisci, MR
Kolmanovskii, VB
Russo, E
Vecchio, A
机构：
[1] Dip Mat & Appl, Complesso Monte S Angelo, I-80126 Naples, Italy
[2] Moscow Univ Elect & Math, Russian Acad Sci, Space Res Inst, Moscow 109172, Russia
[3] CNR, Inst Appplicaz Matemat, I-80131 Naples, Italy
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 10-12期
关键词：
Volterra discrete equations; stability; Liapunov functionals; multistep methods;
D O I：
10.1016/S0898-1221(98)80011-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A procedure to construct Liapunov functionals for discrete Volterra equations is proposed. Using this procedure stability conditions are derived for general Volterra difference equations. Some applications of the proposed procedure for obtaining stability conditions for linear multistep methods for Volterra integro-differential equations are presented. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：77 / 97
页数：21
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