Transient response of Euler-Cauchy-type time-varying nonlinear systems using multidimensional Mellin transforms

The paper presents a new method of obtaining the transient response of Euler-Cauchy-type time-varying nonlinear systems. The use of multidimensional Mellin transforms makes it easier to obtain the system response in the form of a functional power series of the Volterra type. The method of solution is applied to a physical control problem involving time-varying parameters, and the system response is obtained under different operating conditions.