Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions
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BIHUN, Yaroslav, PETRYSHYN, Roman, KRASNOKUTSKA, Inessa. Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 25-26. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia a 26-a, 2018
Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 20-22 septembrie 2018

Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions


Pag. 25-26

Bihun Yaroslav, Petryshyn Roman, Krasnokutska Inessa
 
Yuriy Fedkovych National University of Chernivtsi
 
 
Disponibil în IBN: 30 mai 2022


Rezumat

We consider a system of differential equations of the form [1, 2] dx with initial conditions, multipoint and boundary integral conditions, for example [3], The complexity of the research of the problem is the existence of resonances. Resonance condition in point _ 2 [0;L] isAveraging in system (1) is carried out on fast variables '_ on the torus Tm. The averaged problem takes the form The existence and uniqueness of solution of the problem and the estimation error of averaging method is obtained.