Decomposition of multiparameter linear singularly perturbed systems
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2020-06-19 21:44
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CHEREVKO, Igor, OSYPOVA, Oleksandra. Decomposition of multiparameter linear singularly perturbed systems. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 259-262. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Decomposition of multiparameter linear singularly perturbed systems

Pag. 259-262

Cherevko Igor, Osypova Oleksandra
 
Yuriy Fedkovych National University of Chernivtsi
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

We investigate a system of linear singularly perturbed differential equations with plenty of small parameters. The algorithm of the decomposition scheme contains k steps of a successive splitting based on the integral manifold of quick and slow variables method. The splitting substitution is defined constructively in the form of expansions by powers of small parameters.

Cuvinte-cheie
linear singularly perturbed systems, asymptotic decomposition, integral manifolds,

decomposition