Exact(1)
Then, some results about the uniqueness and continuous dependence on the functions g 1, F 1i, F 2i, G 1i, G 2i of the solutions of Eq. (1) are established using the presented inequalities.
Similar(59)
Note that the dependence of the functions on the switching rule is a generalization which often occurs in practical cases.
Here we have suppressed, for convenience, the dependence of the functions on argument x, because there is no likely confusion.
In these estimates the entire dependence on the function is through its type and logarithmic sum.
The determination of the polarization resistance dependence on the function of the effective amplitude of the perturbation signal is the static characteristic of a tested system.
It is thus a state of families rather than a family state, and its dependence on the functioning of individual households makes marriage essential to political theory (Politics, 1264b).
This fact with the functional dependence on the unknown function and its derivatives till order ( n − 1 ) will allow that problem (1 - 2) can include the periodic and antiperiodic cases, which were not covered by the existent literature on functional boundary value problems.
Its dependence on the unknown function x is nonlocal, since the integral of function x appears in the argument of the tanh-function.
If we consider the isentropic gas flow, this dependence is reduced to the dependence on the density function by using the second law of thermal dynamics.
It was determined that the dose rate constant and anisotropy factor determine the activity needed for implantation but a strong dependence on the radial function was found to effect the doses to the adjacent structures.
It is shown that in dependence on the distribution function of the hot electrons solitary structures with positive potential (compressive structures) or with negative potential (rarefactive structures) can be formed.
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