Sentence examples for use the perturbation method from inspiring English sources

Based on existing works, we use the perturbation method to determine the instability modes and their corresponding spacing.

In this paper, we use the perturbation method and the mixed monotone iterative technique to discuss the existence of periodic solutions for impulsive evolution equations in ordered Banach spaces.

In this paper, based on the known flexural stiffness for a bimodular thin plate in small-deflection bending, we establish the von Kármán equations with different moduli in tension and compression and then use the perturbation method and the displacement variation method to solve the problem, respectively.

Analytical solutions are obtained using the perturbation method.

The problem is solved using the perturbation method.

In this paper, a new one-port microstrip line permeameter using the perturbation method is presented.

In that case, the calculations are performed using the perturbation method and the compact effective mass density matrix approach.

By using the perturbation method, we establish the existence of both positive and negative solutions for this system.

The approximate solution of the nonlinear equation of motion is obtained using the perturbation method.

Results obtained by using the perturbation method are validated by numerical simulations.

The bearing dynamic force coefficients calculated using the perturbation method show clear correlation with given nominal clearance magnitudes.