Sentence examples for the green functions of the from inspiring English sources

We show that, under some quite natural conditions, the Green functions of the Girsanov transformed process are comparable to those of the original process.

The behaviour of the global structure is predicted from the Green functions of the individual uncoupled beams, evaluated as summations over their mode shapes.

Also the Green functions of the problem are derived and their use is pointed out for tackling the problem with additional source terms or/and boundary conditions.

The current method also provides a perturbation series expansion and the Green functions of the wave equation in the N-dimension, all by quadratures along a single trajectory.

The method for obtaining the natural frequencies and orthogonality relation for combined dynamical systems in which the Green functions of the vibrating subsystems are used is applied to a thick plate carrying concentrated masses.

In Section 3, we will use the Poincaré matrixes and fundamental matrix solutions to give the formula of the Green functions of the periodic solution problem (1.2).

The solution is first given as a convolution of the Green function of the plate.

The solution is constructed in the form of the convolution of the Green function of the beam.

This method combines the cubic spline function with the Green function of the beam in the integral equations.

The Green function of the deflection problem is used to obtain the characteristic equation of the free vibration.

In this paper we study, with a very new approach, the Green function of the conformal laplacian operator on X.