TY - JOUR AU - Bich, Dao Huy AU - Bich, Nguyen Dang AU - Tuan, Nguyen Anh PY - 2008/12/31 Y2 - 2024/03/28 TI - On the solutions of the Mathieu’s equation JF - Vietnam Journal of Mechanics JA - Vietnam J. Mech. VL - 30 IS - 4 SE - Research Article DO - 10.15625/0866-7136/30/4/5627 UR - https://vjs.ac.vn/index.php/vjmech/article/view/5627 SP - 219 – 231 AB - 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. ER -