New Stability Criteria for Linear Volterra Time-varying Integro-differential Equations

被引：6

作者：

Tran The Anh ^{[1
,2
]}

Pham Huu Anh Ngoc ^{[3
]}

机构：

[1] Vietnam Natl Univ Ho Chi Minh City, Fac Math & Comp Sci, Univ Sci, 227 Nguyen Cu St,Dist 5, Ho Chi Minh City, Vietnam

[2] Univ Khanh Hoa, Dept Nat Sci & Technol, Nha Trang, Khanh Hoa, Vietnam

[3] Int Univ, Dept Math, Vietnam Natl Univ HCMC, Thu Duc Dist, Saigon, Vietnam

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2017年 / 21卷 / 04期

关键词：

linear integro-differential equations; time-varying system; asymptotically stability; ASYMPTOTIC STABILITY; ROBUST STABILITY; SYSTEMS; DELAY;

D O I：

10.11650/tjm/7812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a novel approach, we get some new explicit criteria for uniform asymptotic stability and exponential asymptotic stability of linear Volterra time-varying integro-differential equations of non-convolution type. Some examples are given to illustrate the obtained results.

引用

页码：841 / 863

页数：23

共 50 条

[31] Stability of neutral Volterra integro-differential equations with infinite delay
Li, Xiushuai
Jiang, Jiao
[J]. PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (02):
[32] On uniform asymptotic stability of nonlinear Volterra integro-differential equations
Ngoc, Pham Huu Anh
Hieu, Le Trung
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (03) : 729 - 735
[33] The Volterra Theory of Integro-Differential Equations
Soldatov A.
Zaripov S.
[J]. Journal of Mathematical Sciences, 2023, 277 (3) : 467 - 475
[34] Stability of piecewise polynomial collocation for Volterra integro-differential equations
Oja, P.
Tarang, M.
[J]. Mathematical Modelling and Analysis, 2001, 6 (02) : 310 - 320
[35] Mean square stability of stochastic Volterra integro-differential equations
Mao, X
Riedle, M
[J]. SYSTEMS & CONTROL LETTERS, 2006, 55 (06) : 459 - 465
[36] REGIONS OF STABILITY IN THE NUMERICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
BAKER, CTH
MAKROGLOU, A
SHORT, E
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (06) : 890 - 910
[37] Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays
Maqbol, Sahar M. A.
Jain, Rupali S.
Reddy, B. Surendranath
[J]. CONTEMPORARY MATHEMATICS, 2024, 5 (01):
[38] EXPONENTIAL STABILITY OF SEMIGROUPS GENERATED BY VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Rautian, N. A.
[J]. UFA MATHEMATICAL JOURNAL, 2021, 13 (04): : 63 - 79
[39] STABILITY OF NUMERICAL-METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
BRUNNER, H
LAMBERT, JD
[J]. COMPUTING, 1974, 12 (01) : 75 - 89
[40] INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
RAO, MR
TSOKOS, CP
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (03): : 528 - &

← 1 2 3 4 5 →