NUMERICAL APPROXIMATIONS FOR A CLASS OF DIFFERENTIAL-EQUATIONS WITH TIME-DEPENDENT AND STATE-DEPENDENT DELAYS

被引：31

作者：

GYORI, I ^{[1
]}

HARTUNG, F ^{[1
]}

TURI, J ^{[1
]}

机构：

[1] UNIV TEXAS,PROGRAMS MATH SCI,RICHARDSON,TX 75083

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 06期

关键词：

DELAY EQUATION; STATE-DEPENDENT DELAYS; APPROXIMATION; EULERS METHOD; EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS;

D O I：

10.1016/0893-9659(95)00079-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish limiting relations between solutions for a large class of functional differential equations with time- and state-dependent delays and solutions of appropriately selected sequences of approximating delay differential equations with piecewise constant arguments. The approximating equations, generated in the above process, lead naturally to discrete differences equations, well suited for computational purposes, and thus provide and approximation framework for simulation studies.

引用

页码：19 / 24

页数：6

共 9 条

[1]

CODDINGTON EA, 1985, THEORY ORDINARY DIFF

[2]

Cryer C. W, 1972, DELAY FUNCTIONAL DIF, P17

[3]

Driver R. D., 1963, CONTRIB DIFFERENTIAL, V1, P317

[4]

Gyori I., 1991, INT J MATH MATH SCI, V14, P111, DOI [10.1155/S016117129100011X, DOI 10.1155/S016117129100011X]