On the solutions of the Mathieu’s equation

Dao Huy Bich, Nguyen Dang Bich, Nguyen Anh Tuan

Abstract


As shown in [1] solutions of the Mathieu’s equation were classified on three fundamental kinds depending mainly on its parameters. These solutions were constructed in the form of infinite series. This paper presents a new approach in which approximated analytical solutions of the Mathieu’s equation are constructed in the finite form. Depending on parameters of Mathieu’s equations general solutions may obtain following behaviors: either bounded almost periodic, or infinitely increased combining with infinitely decreased and or infinitely increased combining with periodic.

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DOI: https://doi.org/10.15625/0866-7136/30/4/5627 Display counter: Abstract : 37 views. PDF : 154 views.

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