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Lazer, A.C. and McKenna, P.J. (1990) On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type. Proceeding of American Mathematical Society, 110, 125-133.
https://www.jstor.org/stable/2048251
https://doi.org/10.2307/2048251

has been cited by the following article:

• TITLE: Maximum Interval of Stability and Convergence of Solution of a Forced Mathieu’s Equation

  AUTHORS: Everestus Obinwanne Eze, Uchenna Emmanuel Obasi, Rosary Ngozi Ujumadu, Grace Ihuoma Kalu

  KEYWORDS: Frobenius Method, Eigenvalue Approach, Stability, Mathieu’s Equation

  JOURNAL NAME: World Journal of Mechanics, Vol.10 No.11, November 20, 2020

  ABSTRACT: This paper investigates the maximum interval of stability and convergence of solution of a forced Mathieu’s equation, using a combination of Frobenius method and Eigenvalue approach. The results indicated that the equilibrium point was found to be unstable and maximum bounds were found on the derivative of the restoring force showing sharp condition for the existence of periodic solution. Furthermore, the solution to Mathieu’s equation converges which extends and improves some results in literature.