Stability of discrete Volterra equations of Hammerstein type

被引：16
|
作者：
Crisci, MR
Kolmanovskii, VB
Russo, E
Vecchio, A
机构：
[1] CNR, Ist Applicazioni Matemat, I-80131 Naples, Italy
[2] Univ Salerno, Dipartimento Ingn Inf & Matemat Applicata, I-84084 Salerno, Italy
[3] Russian Acad Sci, IKI, Moscow Inst Elect & Math, Moscow 109172, Russia
[4] Russian Acad Sci, IKI, Inst Space Res, Moscow 109172, Russia
[5] Univ Naples Federico II, Compl Univ Monte S Angelo, Dipartimento Matemat & Applicazioni R Caccioppoli, I-80126 Naples, Italy
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2000年 / 6卷 / 02期
关键词：
discrete Volterra equations; Hammerstein; stability; direct quadrature methods;
D O I：
10.1080/10236190008808218
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stability conditions for Volterra equations with discrete time are obtained using direct Liapunov method, without usual assumption of the summability of the series of the coefficients. Using such conditions, the stability of some numerical methods for second kind Volterra integral equation is analyzed.
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页码：127 / 145
页数：19
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