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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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