Sentence examples for by the map defined from inspiring English sources

We denote by the map defined by (2.10).

To show this, denote by the set of admissible pairs with and consider the map defined by (5.7).

Let be the map defined by (2.4).

Let Γ be the map defined by (3.5).

Denote the map defined by the right hand of system (2.1).

Let T denote the map defined by the above expressions of (psi(t)u x,t)).

Given a map, the map defined by for all, is called the (lower) inverse of.

The Kuratowski measure of noncompactness is the map defined by (25).

Lemma 3 Let T = ( f, g ) be the map defined by (5).

Then for any, the map defined by (3.7) has at least one fixed point.

A -periodic solution of (1.1) is just a fixed point of the map defined by (4.6).