A note on a discretization scheme for Volterra integro-differential equations that preserves stability and boundedness

被引：5

作者：

Mickens, Ronald E. ^{[1
]}

机构：

[1] Clark Atlanta Univ, Dept Phys, Atlanta, GA 30314 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2007年 / 13卷 / 06期

关键词：

Volterra integro-differential equations; nonstandard finite difference schemes; stability; boundedness;

D O I：

10.1080/10236190601143245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the validity of some recent results on discretization of scalar Volterra differential equations.

引用

页码：547 / 550

页数：4

共 50 条

[21] The Volterra Theory of Integro-Differential Equations
Soldatov A.
Zaripov S.
Journal of Mathematical Sciences, 2023, 277 (3) : 467 - 475
[22] Stability of piecewise polynomial collocation for Volterra integro-differential equations
Oja, P.
Tarang, M.
Mathematical Modelling and Analysis, 2001, 6 (02) : 310 - 320
[23] Mean square stability of stochastic Volterra integro-differential equations
Mao, X
Riedle, M
SYSTEMS & CONTROL LETTERS, 2006, 55 (06) : 459 - 465
[24] A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
Rahimkhani, Parisa
Ordokhani, Yadollah
Babolian, Esmail
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2018, 13 (02): : 111 - 132
[25] BOUNDEDNESS OF SOLUTIONS OF A SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS
KUEN, SM
RYBAKOWSKI, KP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (02) : 378 - 390
[26] NOTE ON A VOLTERRA INTEGRO-DIFFERENTIAL EQUATION SYSTEM
WEIS, DG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) : 214 - 216
[27] Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations
N. A. Rautian
Doklady Mathematics, 2021, 104 : 273 - 276
[28] On the numerical stability of the general linear methods for Volterra integro-differential equations
Mahdi, H.
Hojjati, G.
Abdi, A.
APPLIED NUMERICAL MATHEMATICS, 2019, 142 (139-150) : 139 - 150
[29] CONVERGENCE OF A DISCRETIZATION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS
LINZ, P
NUMERISCHE MATHEMATIK, 1975, 25 (01) : 103 - 107
[30] Hyers–Ulam stability of impulsive Volterra delay integro-differential equations
D. A. Refaai
M. M. A. El-Sheikh
Gamal A. F. Ismail
Bahaaeldin Abdalla
Thabet Abdeljawad
Advances in Difference Equations, 2021

← 1 2 3 4 5 →