Sentence examples for character of the solution from inspiring English sources
The character of the solution of the eigenvalue problem of the constrained system is stated and proved in a Theorem.
High resolution numerical algorithms are used to handle discontinuities and new devices are introduced to represent the multivalued character of the solution.
A series solution is assumed in circumferential and axial direction such that the three-dimensional character of the solution is preserved.
A series solution is assumed in the plane of the plate and finite element procedure is adopted across the thickness of the plate such a way that the three-dimensional character of the solution is preserved.
A series solution is assumed in the plane of the plate and finite element procedure is adopted across the thickness of the plate such a way that the three-dimensional (3-D) character of the solution is preserved.
Secondly, the periodic solution of the non-linear rotor bearing system is expanded into Fourier series according to the character of the solution obtained by using the generalized shooting method.
It is a classical problem to see how bounded perturbations of the right-hand side of equation (3), as well as of coefficient q influence on the boundedness character of the solutions of such obtained equations.
In this section we investigate the local stability character of the solutions of Equation 1. Equation 1 has a unique positive equilibrium point and is given by x ¯ = a x ¯ 2 b x ¯ - c x ¯, if a ≠ b-c, b ≠ c, then the unique equilibrium point is x ̄ = 0. Let f : (0, ∞ 4 → (0, ∞) be a function defined by f ( u, v, w, s ) = a u v b w - c s. (5).
Therefore, casual character of the exact solution was expressed at the nodal points.
