Convergent solutions of linear functional difference equations in phase space

被引：29

作者：

Cuevas, C ^{[1
]}

Pinto, M

机构：

[1] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 277卷 / 01期

关键词：

functional difference equations; phase space; summable dichotomies; Volterra difference equation; convergent solutions; Schauder's theorem;

D O I：

10.1016/S0022-247X(02)00570-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using weighted summable dichotomies and Schauder's fixed point theorem, we prove the existence of convergent solutions of linear functional difference equations. We apply our result to Volterra difference equations with infinite delay. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：324 / 341

页数：18

共 11 条

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Agarwal RP, 1992, Difference equations and inequalities

[2]

Aulbach B., 1984, LECT NOTES MATH, V10

[3] BOUNDED AND ZERO CONVERGENT SOLUTIONS OF 2ND-ORDER DIFFERENCE-EQUATIONS [J].