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Remarkably, the boundary condition does not influence the topological entropy under some presumption.
The Volkersen's solution, although it fulfils the zero-traction boundary condition, does not give better results than the others and often underestimates the peak values.
Because the PML boundary condition does not modify seismic waves propagating parallel to the boundary, it minimizes the occurrence of such artificial reflections (Fig. 15c, d).
In the case that (rho ( x )equiv1) and the boundary condition does not contain a spectral parameter, the inverse scattering problem for (1) was solved by Marchenko [2, 3] and Levitan [4, 5].
The domain is assumed to be sufficiently long to neglect boundary effects in x, and the width of the domain is chosen so that the periodic boundary condition does not impact the flow development.
This new boundary condition does not change the pressure or the velocity predicted by the numerical method, but does change the density and the temperature in a fashion consistent with the equation of state resulting in new values that minimize a specific measure of variation at the boundary.
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Increasing the track length or changing the boundary conditions does not influence the localised buckling behaviour for track lengths beyond the critical length.
Using these boundary conditions does not prevent the sliding at foundation discontinuities due to seismic loading, thus providing non-uniform excitation.
Using the results in [8, 9], it is easy to derive statements for a general boundary value problem if the number of boundary conditions does not coincide with the number of unknowns in a differential system with a single delay.
But the inhomogeneity of the boundary conditions does not have any effects on the natural frequencies or system spectrum due to the both receptance and boundary transfer functions have the same characteristic equations.
In this paper, we extend the work of [14] to a class of boundary conditions where exactly one of the left endpoint boundary conditions does not depend on the eigenvalue parameter, while the remaining boundary conditions depend on the eigenvalue parameter.
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