Sentence examples for exists an almost from inspiring English sources

For a finite and large number of players, there exists an almost ex post efficient equilibrium.

if there exists an almost periodic function and such that.

If is an a.p. sequence, then there exists an almost periodic function such that for.

(a) If is an a.p. sequence, then there exists an almost periodic function such that for.

Since is an almsot -mapping, there exists an almost companion mapping such that.

Furthermore, is called an almost -space, if, for each entourage, there exists an almost -mapping such that.

An almost periodic function (f:R to R) is said to be asymptotic if there exist an almost periodic function (q ( t ) ) and a continuous function (r ( t ) ) such that f ( t ) = q ( t ) + r ( t ),quad quad r ( t ) to 0 quad mbox{as } t to infty.

So, there exists a unique almost periodic solution (phi^) of equation (1.4) in (X_{0}).

by Theorem 2.5, there exists a unique almost automorphic mild solution to (2.26) provided that and is sufficiently small.

Furthermore, by constructing a series of Lyapunov functionals, we derive that there exists a unique almost periodic solution of the system which is uniformly asymptotically stable.

From Figure 1, we can see that there exists a positive almost periodic solution ( x 1 ∗ ( t ), x 2 ∗ ( t ) ), and the two-dimensional and three-dimensional phase portraits of almost periodic system (4.1) are revealed in Figure 2, respectively.