Sentence examples for linear satisfying from inspiring English sources

In this paper, we denote that is a positive constant and assume that a family of closed linear satisfying.

This goal is met in a distribution-free manner and includes all linear and non-linear systems satisfying very general conditions.

In the following, we construct an example of a sequence of positive linear operators satisfying the conditions of Theorem 2.1, but does not satisfy the conditions of Theorem II.

Obviously, (P_{2}) and (Q_{2}) are continuous linear projectors satisfying (2.3).

The operator T X is a positive linear operator satisfying the inequality ∥ T X f ∥ ≤ ∥ f ∥  .

The are obtained by solving a set of r linear equations satisfying the following condition: (16).

If is a differentiable function (1.5). it generates a linear semigroup satisfying the parabolic equation (1.6).

Let T Ω be a linear operator satisfying (1.1) and bounded on L p ( R n ) for p > 1.

where for is a family of linear operators satisfying Acquistpace-Terreni conditions and are pseudo-almost automorphic functions.

Continuing in the above fashion, we obtain a bounded monotone sequence of solutions of linear problems satisfying (3.18).

The linear groupoid (R, ∗), with x ∗ y := A - (x + y), ∀x, y ∈ R, where A ∈ R, is the only linear groupoid satisfying the condition (3).