Then we described a program for deducing the precise intervals of oscillations in the solutions of the general form (1), and we presented a variety of examples in which this procedure was successful in predicting oscillatory behavior solely from an examination of the coefficient (q(x)) of equation (2).
Then we described a program for deducing the precise intervals of oscillations in the solutions of the general form (1), and we presented a variety of examples in which this procedure was successful in predicting oscillatory behavior by examining the coefficient (q(x)) alone.
In such a scheme, incoming events are compared with the corresponding event in the first sequence, initially for contour direction (global) and then for the precise interval (local).
The dependence of participants' accuracy on the presence or absence of a change in contour suggests that processing of contour provides a 'scaffold' on which the detail of the precise intervals are subsequently 'hung' (see [2] [4] for further behavioural evidence of this model).
Under some suitable assumptions, they obtained some results which ensure the existence of a precise interval of parameters for which the problem admits multiple solutions.
For example, Xie, Jin and Hou [24] obtained some results which ensure the existence of a well precise interval of the parameter for which the problem admits multiple solutions.
However, Ricceri's theorems in [30, 31, 35] gave no additional information on the size and location of a precise interval of λ's for an energy functional admits at least three critical points.
They look for flash patterns of males of their own species, and sometimes they respond with a single flash of their own, always at a precise interval after the male's.
Using the ratio between the widths of confidence interval and reference interval as the relative precision index, optimal sample size procedures are presented for precise interval estimation under expected ratio and tolerance probability considerations.
Moreover, in order to determine the precise positive interval of the parameter for the existence of multiple solutions of the nonlinear elliptic equations, they observed an embedding constant of the variable exponent Sobolev spaces into the variable exponent Lebesgue spaces by using Talenti's inequality (see [16]).
Parkinson's patients like Mr. Anderson, for example, must take medications at precise intervals to replace the brain chemical dopamine, which is diminished by the disease.
