Stability of the difference type methods for linear Volterra equations in Hilbert spaces

被引：0

作者：

Xu Da

机构：

[1] Hunan Normal University,Department of Mathematics

来源：

Numerische Mathematik | 2008年 / 109卷

关键词：

45K05; 65J60; 65D32;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the stability of backward difference timestepping method for linear Volterra equations of scalar type in a Hilbert space framework. The results and methods extend and simulate numerically those introduced by Prüss for integrability with respect to continuous solutions.

引用

页码：571 / 595

页数：24

共 50 条

[41] Stability of stochastic evolution equations in Hilbert spaces
Zhang, B
Xue, F
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2004, 11 (01): : 31 - 40
[42] Asymptotic behavior of difference equations of Volterra type
Galescu, G
Talpalaru, P
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2002, 11 (03): : 421 - 435
[43] Stability of nonautonomous differential equations in Hilbert spaces
Barreira, L
Valls, C
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 217 (01) : 204 - 248
[44] Periodic forcing for some difference equations in Hilbert spaces
Morosanu, Gheorghe
Ozpinar, Figen
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (05) : 821 - 829
[45] Controllability of a class of Volterra equations in Hilbert spaces with completely monotone kernel
Stefano Bonaccorsi
Gertrud Desch
[J]. Journal of Evolution Equations, 2012, 12 : 675 - 695
[46] On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces
Ren, Y.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (02) : 319 - 333
[47] STABILITY PROPERTIES OF LINEAR VOLTERRA-EQUATIONS
HINO, Y
MURAKAMI, S
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 89 (01) : 121 - 137
[48] Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces
Rautian, N. A.
[J]. DOKLADY MATHEMATICS, 2024,
[49] On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces
Y. Ren
[J]. Journal of Optimization Theory and Applications, 2010, 144 : 319 - 333
[50] Asymptotic Representation of the Solutions of Linear Volterra Difference Equations
István Győri
László Horváth
[J]. Advances in Difference Equations, 2008

← 1 2 3 4 5 →