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

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.

References

1. Krasnoselskii M.A., Operator sdviga po traektoriyam differentsialnykh uravnenii, Nauka, M., 1966  
2. Pliss V.A., Nelokalnye problemy teorii kolebanii, Nauka, M., 1964  
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