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Abstract
Mathieu’s equation was first introduced by Mathieu in 1868 when he determined the vibration modes of a stretched membrane having an elliptical clamped boundary. The interest of this equation arises from the many applications of it in engineering and physics fields. This equation governs the response of many physical systems to a sinusoidal parametric excitation. The aim of this work is to solve this equation without any such restrictions on a and q. The thesis consists of five chapters and a list of references.