Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices

被引：0

作者：

Satoru Murakami

Yutaka Nagabuchi

机构：

[1] Okayama University of Science,Department of Applied Mathematics

[2] Okayama University of Science,Department of Applied Science

来源：

Advances in Difference Equations | / 2008卷

关键词：

Fundamental Solution; Spectral Radius; Vector Lattice; Robust Stability; Banach Lattice;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For positive linear Volterra difference equations in Banach lattices, the uniform asymptotic stability of the zero solution is studied in connection with the summability of the fundamental solution and the invertibility of the characteristic operator associated with the equations. Moreover, the robust stability is discussed and some stability radii are given explicitly.

引用

共 50 条

[1] Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
Murakami, Satoru
Nagabuchi, Yutaka
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
[2] On stability and robust stability of positive linear Volterra equations in Banach lattices
Murakami, Satoru
Pham Huu Anh Ngoc
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (05): : 966 - 984
[3] Stability and robust stability of positive linear Volterra difference equations
Ngoc, Pham Huu Anh
Naito, Toshiki
Shin, Jong Son
Murakami, Satoru
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (05) : 552 - 568
[4] On stability and robust stability of positive linear Volterra equations
Ngoc, Pham Huu Anh
Naito, Toshiki
Shin, Jong Son
Murakami, Satoru
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) : 975 - 996
[5] TOTAL STABILITY AND UNIFORM ASYMPTOTIC STABILITY FOR LINEAR VOLTERRA-EQUATIONS
HINO, Y
MURAKAMI, S
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1991, 43 : 305 - 312
[6] On the asymptotic stability of linear Volterra difference equations of convolution type
Elaydi, S.
Messina, E.
Vecchio, A.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (12) : 1079 - 1084
[7] UNIFORM ASYMPTOTIC STABILITY OF CERTAIN LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
DATKO, R
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1976, 74 : 71 - 79
[8] Global uniform asymptotic stability of neutral Volterra equations
Cui, WY
Zhao, HY
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS, 2000, : 59 - 60
[9] On the Asymptotic Stability, Uniform Stability, and Boundedness of Solutions to Nonlinear Volterra Integrodifferential Equations
C. Tunç
S. A. Mohammed
[J]. Ukrainian Mathematical Journal, 2021, 72 : 1976 - 1989
[10] ON THE ASYMPTOTIC STABILITY, UNIFORM STABILITY, AND BOUNDEDNESS OF SOLUTIONS TO NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
Tunc, C.
Mohammed, S. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2021, 72 (12) : 1976 - 1989

← 1 2 3 4 5 →