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October 10, 2011 15:55, International conference "Kolmogorov Meetings. General control problems and applications (GCP-2011)", Tambov State University (Tambov, 2011)  

Finding of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations

A. N. Pchelintsev

Tambov State Technical University
Video records:
Flash Video 27.1 Mb
MP4 27.1 Mb
Presentation:
PowerPoint 276.0 Kb
Supplementary materials:
Adobe PDF 292.2 Kb

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A. N. Pchelintsev



Abstract: The report describes a method for constructing approximations to the periodic solutions of one class of nonautonomous systems of ordinary differential equations. It is based on the scheme of successive approximations using symbolic computation. There are listed the results of computing experiment for a second-order system.

Presentation: pchelintsev_slides_tsu_2011.ppt (276.0 Kb)
Supplementary materials: 13596322.pdf (292.2 Kb)

References
  1. Krasnoselskii M.A., Operator sdviga po traektoriyam differentsialnykh uravnenii, Nauka, M., 1966  mathscinet
  2. Pliss V.A., Nelokalnye problemy teorii kolebanii, Nauka, M., 1964  mathscinet
  3. Pchelintsev A.N., Povetev A.Yu., Podolskii V.E., “O postroenii periodicheskikh reshenii odnogo klassa neavtonomnykh sistem differentsialnykh uravnenii v raspredelennoi kompyuternoi srede”, Vestnik TGTU, 17:2 (2011), 502–512
  4. Pchelintsev A.N., Chislennye metody i obobschenno-periodicheskie resheniya dinamicheskikh sistem, Lambert Academic Publishing, Saarbryukken (Germaniya), 2010
 
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