On the solutions of the Mathieu’s equation

Authors

  • Dao Huy Bich Vietnam National University, Hanoi, Vietnam
  • Nguyen Dang Bich Institute for Building Science and Technology, Hanoi, Vietnam
  • Nguyen Anh Tuan Institute for Building Science and Technology, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/30/4/5627

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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Published

31-12-2008

How to Cite

Bich, D. H., Bich, N. D., & Tuan, N. A. (2008). On the solutions of the Mathieu’s equation. Vietnam Journal of Mechanics, 30(4), 219 –. https://doi.org/10.15625/0866-7136/30/4/5627

Issue

Section

Research Paper

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