It does, however, mean adopting extreme caution when writing a political narrative – especially in a world that is accustomed to reducing existence as a whole to politics.
Here, we meet Anaximander and his drum-shaped Earth at the centre of the spherical cosmos, we can reduce existence to numbers with Pythagoras, and meet the first atomic theorist, Leucippus.
By the periodicity of and in the first variable, we have reduced the existence of periodic solutions of (1.1) to that of critical points of on.
We establish the stability of the equilibria and reduce the existence of traveling waves to the existence of a pair of upper-lower solutions by using the cross iteration method and the Schauder's fixed point theorem.
We reduce the existence of traveling waves to the existence of a pair of upper-lower solutions by using the cross iteration method and the Schauder's fixed point theorem.
In this section, we establish a variational structure which reduces the existence of solutions for (1.1) to the existence of critical points of the corresponding functional.
Our aim is to reduce the existence of periodic solutions of (2.12) to the existence of critical points of.
As in Section 2, we reduce the existence of solutions of BVP (4.48) to the existence of critical points of a functional defined on as follows: (4.49).
In [6], Mawhin and Willem established a variational structure which enables us to reduce the existence of solutions for problem (1.1) to the existence of critical points of the following energy functional.
In Section 3, we reduce the existence of delay KdV-type equation (1.1) to the local existence of mild solution of abstract integral equation.
