Abstract
In this paper, we study the solution of differential equation with Dirac function and Heaviside function, arising from discontinuous and impulsive excitation. Firstly, according to the theory of differential equation, we suggest, then we derive the equation of x1(t) and x2(t) by terms of property of distribution, and by solving x1(t) and x2(t) we obtain x(t); finally, we make a thorough investigation about periodic impulsive parametric excitation.
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