Sentence examples for maximal principle that from inspiring English sources

end{cases} (2.16) It follows from the maximal principle that (u^_{k}< r).

By calculating using general ordinary differential equation theory and maximal principle, we obtain that the radial function ϕ 0 ( x ) = q ( h 1 − h 2 ) ρ N − 2 ( ρ + 1 ) N − 2 ( ρ + 1 ) N − 2 − ρ N − 2 | x | N − 2 + [ q h 1 − ω − q ( h 1 − h 2 ) ( ρ + 1 ) N − 2 ( ρ + 1 ) N − 2 − ρ N − 2 ]. is the unique solution of equation (27).

Main results of our paper are based on the maximum boundaries principle, that is, on the fact that the maximal and minimal values of the solution can be achieved only at the points or The boundaries maximum principle in the case of the zero operator was considered in the recent papers [2, 3].

We show that there is a maximal principle for solutions of certain nonlinear equations of the formΔu(x)=F x, u(x)).

Selection of a 14-day dosing period was based on the principle that it can take up to two weeks for maximal induction of drug metabolizing enzymes involved in the biotransformation of pharmacological compounds.

In principle, that is laudable.

What a terrible "principle" that would be.

Then Balakrishnan proved a maximal principle for the optimal control and which can imply the bang bang property (see [4]), Friedman discussed the time optimal control problem on Banach spaces (see [5]), Fattorini proved that the maximal principle in 1974 for some special Banach spaces.

Lemma 1.3 (maximal principle).

But it is the principle that matters.

subject to the state Eq. (1.2) by using Pontryagin's maximal principle.