Sentence examples for maximum principle see from inspiring English sources

Applying the strong maximum principle (see [17]), we get (u_>0) and (u_<0) in Ω. □.

Then by the strong maximum principle (see [31]) we get (w(x)>0) on Ω.

By the maximum principle (see [9], Chapter 4), problem (2.14) has a unique solution.

According to the A-B-P maximum principle (see [20]), we have that (4.11).

Applying the A-B-P maximum principle (see [20]), we have that in, which contradicts the definition of.

By the maximum principle (see [19]), z 0 < 0 is an eigenfunction of λ 1, then | u n ( x ) | → ∞ for a.e.

Similarly to [5], we provide two maximum principles; see Lemmas 5.2 and 5.4.

Inequality (1.1) is a famous result due to Bernstein [1], whereas inequality (1.2) is a simple consequence of the maximum modulus principle (see [2]).

The combining is based on the maximum ratio combining principle, see [1], which means that the weights are given by (2).

The Pontryagin Maximum Principle (PMP, see [70]) for the problem ((mathcal {P}_{0})) with control constraints and without state constraints is recalled in the following statement.

Employing the strong maximum principle, we see that there is a, such that (4.37).