Article information

2004 , Volume 9, ¹ 1, p.86-94

Rogalev A.N.

Bounds of solution sets of differential equations with interval initial data

Guaranteed methods are applied for the estimation of solution sets of ODE systems with interval initial data. ODE systems with permanently operating perturbations (problem of practical stability), controlled ODE systems with the unknown data (extreme states of these systems and reachable sets) and some classes of the "determined stochastic"' ODE problems are considered. Bounds of solution sets are calculated and their graphs are presented.

[full text] Classificator Msc2000:
*34A34 Nonlinear equations and systems, general
34D10 Perturbations
60H10 Stochastic ordinary differential equations
65C30 Stochastic differential and integral equations
65G40 General methods in interval analysis
65K10 Optimization and variational techniques
65L05 Initial value problems
65L70 Error bounds
93B03 Attainable sets

Keywords: system of ordinary differential equations, error bounds, perturbations, stability, controlled systems, attainable sets

Author(s):
Rogalev Alexey Nikolaevich
PhD. , Associate Professor
Position: Associate Professor
Office: Institute of Computational Modelling SB RAS
Address: 660036, Russia, Krasnoyarsk, Akademgorodok, 50, p.44
E-mail: rogalyov@icm.krasn.ru
SPIN-code: 7519-8826


Bibliography link:
Rogalev A.N. Bounds of solution sets of differential equations with interval initial data // Computational technologies. 2004. V. 9. ¹ 1. P. 86-94
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