Periodic Oscillations of a Fourth Order Non Linear Ordinary Differential Equations (original) (raw)

American Journal of Computational and Applied Mathematics, 2015

Abstract

This paper established the existence of periodic oscillations to the fourth order nonlinear ordinary differential equations of the form . Also established is a periodicoscillation to equation (*) of the form small 0, as is very small and A, ω, , b, c, d, e, and are constants; and are continuous functions in their respective arguments that satisfy suitable growth restrictions such as , is the least period of oscillations and ω is the angular frequency of oscillations.

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