Asymptotic constancy of solutions of linear parabolic Volterra difference equations

被引：11

作者：

Shi, B ^{[1
]}

Wang, ZC ^{[1
]}

Yu, JS ^{[1
]}

机构：

[1] NAVAL AERONAUT ENGN ACAD,DEPT BASIC SCI,YANTAI 2640019,SHANDONG,PEOPLES R CHINA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 08期

关键词：

parabolic Volterra difference equations; limiting equations; asymptotic constancy; neutral type;

D O I：

10.1016/0898-1221(96)00168-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some sufficient conditions under which every solution of a class of linear parabolic Volterra difference equations of neutral type tends to a constant as n-->infinity. We also consider the asymptotic constancy of solutions for a class of linear ordinary Volterra difference equations of neutral type. The results obtained improve and generalize some known results.

引用

页码：65 / 77

页数：13

共 50 条

[31] On asymptotic constancy for linear discrete summation equations
Reynolds, David W.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (07) : 2335 - 2344
[32] Asymptotic behavior of difference equations of Volterra type
Galescu, G
Talpalaru, P
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2002, 11 (03): : 421 - 435
[33] On exact convergence rates for solutions of linear systems of Volterra difference equations
Applelby, John A. D.
Gyori, Istvan
Reynolds, David W.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (12) : 1257 - 1275
[34] Representations and asymptotic behavior of solutions to periodic linear difference equations
Naito, Toshiki
Ngoc, Pharn Hun Anh
Shin, Jong Son
[J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2008, 51 (01): : 55 - 80
[35] Absolute asymptotic stability of solutions of linear parabolic differential equations with delay
Kushnir V.P.
[J]. Ukrainian Mathematical Journal, 2007, 59 (12) : 1932 - 1941
[36] Asymptotic behavior of solutions for linear parabolic equations with general measure data
Petitta, Francesco
[J]. COMPTES RENDUS MATHEMATIQUE, 2007, 344 (09) : 571 - 576
[37] Asymptotic property of linear Volterra difference systems
Choi, Sung Kyu
Koo, Nam Jip
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) : 260 - 272
[38] The asymptotic behavior of the solutions of a Volterra difference equation
Medina, R
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 34 (01) : 19 - 26
[39] Asymptotic behavior of the solutions of a Volterra difference equation
Universidad de Los Lagos, Osorno, Chile
[J]. Comput Math Appl, 1 (19-26):
[40] Estimation of the solutions of Volterra difference equations
Kolmanovskii, VB
Richard, JP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (02) : 618 - 626

← 1 2 3 4 5 →