Sentence examples for increasing solutions of from inspiring English sources

Increasing solutions of (1.1), (1.5) with has a fundamental role in these models.

(i Theorems 4.1 and 4.2, as formulated in the previous section, apply only to positive decreasing (or negative increasing) solutions of (1.1).

The fries have been fixed in 10%% formalin, dehydrated in increasing solutions of alcohol, diaphanized in xylene and paraffin-embedded (Merck®), according to standard protocol.

The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation,, where is a parameter and is Lipschitz continuous and has three real zeros.

Conversely, all solutions of (3.26) satisfying f ( x ) > max { r 1 x, r 2 x } and all solutions of (3.27) satisfying f ( x ) > max { r 1 x, r 3 x }, constructed by Theorem 2 of [14], are C 0 strictly increasing solutions of (1.4) satisfying f ( x ) > x for all x ∈ R.

Samples were fixed with a 2.5% glutaraldehyde solution in PBS (pH 7.4), dehydrated with increasing solutions of acetone (50, 70, 90, and 100%), and, finally, dried by critical point drying and metalized with carbon.

where φ is a positive and increasing solution of (4.5).

A strictly increasing solution of problem (1.1), (1.2) is called a homoclinic solution.

According to Definition 1.2, a homoclinic solution is a strictly increasing solution of problem (1.1), (1.2).

and get a strictly increasing solution of (1.16) for a sufficiently small.

Suppose the contrary, and let f : ( 0, + ∞ ) → ( 0, + ∞ ) be another increasing solution of equation (2.6).