On admissibility of the resolvent of discrete Volterra equations

被引：16
|
作者：
Gyori, Istvan [2 ]
Reynolds, David W. [1 ]
机构：
[1] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland
[2] Univ Pannonia, Dept Math & Comp, H-8200 Vezsprem, Hungary
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2010年 / 16卷 / 12期
关键词：
discrete Volterra equations; admissibility; resolvent; weighted spaces;
D O I：
10.1080/10236190902824196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that a pair of sequence spaces is admissible with respect to a discrete linear Volterra operator. This paper gives sufficient conditions for the same pair of spaces to be admissible with respect to the associated resolvent operator. The spaces considered include spaces of weighted bounded and weighted convergent sequences. Classes of discrete kernels are discussed for which the appropriate weight sequences are not purely exponential, but the product of an exponential and a slowly decaying sequence.
引用
收藏
页码：1393 / 1412
页数：20
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