Sentence examples for be a continuous solution from inspiring English sources

Let y be a continuous solution of TVP (7).

Let X be a continuous solution to equation (9).

Let y be a continuous solution of IVP (6).

On the other hand, let v be a continuous solution of (3.3) on ([0,1]).

Let be a continuous solution of (3.4) with (3.2) and (3.3) on such that (5.13).

Corollary 2.2 Let f : ( 0, + ∞ ) → ( 0, + ∞ ) be a continuous solution of equation (2.1).

Therefore, v is a continuous solution of (3.1) and (3.2).

Obviously, x ( t ) = ∑ n = 0 ∞ x n ( t ) is a continuous solution of (2.2).

From existence theory, we can conclude that for each continuous initial function there is a continuous solution on an interval for some and on.

(2.5) It follows from (2.5) that besides the constant solution ((rho>0)), it provides a rarefaction wave which is a continuous solution of (2.5) in the form (U xi)).

It is well known that the limit of a convergent subdivision scheme initialized by data f0={f0k}k∈Zd can be represented as ∑k∈Zdfk0φ(x−k), where φ is a continuous solution of the functional equation.