Sentence examples for autonomous case from inspiring English sources

The similar skew-symmetric structure is extended from the autonomous case to the non-autonomous case.

In the next theorem we consider the autonomous case.

Necessary and sufficient conditions for the permanence of the autonomous case of (1.1) with two-species.

In [13], Zhang, Wu and Lu have proved this theorem in the autonomous case.

Note that an autonomous case of (1.1) was studied in [7].

The results obtained in this paper are still new even for the autonomous case.

With this respect, see the introduction in [8], where different eventually autonomous cases are listed for related NLSEs arising in nonlinear optics.

Over finite dimensional spaces, the uniform exponential stability of the Cauchy problem ((Lambda_{n}, gamma, theta_{0})) in discrete and continuous autonomous cases has been investigated in [20, 23].

We recall the results about non-autonomous case for two subcases.

However, also in the non-autonomous case, they hold in many relevant situations.

There are also many scholars who argued that the non-autonomous case is more suitable.