Sentence examples for behaviors of solution from inspiring English sources

On the other hand, we study the long-term behaviors of solution to stochastic nonautonomous system (1.1).

One of the most important behaviors of solutions which has been the main object of investigations among authors is the periodic behavior of solutions [22 29].

However, for multi-dimensional problem with boundary, the behaviors of solutions are still hard to study.

But the integrable intervals and asymptotic behaviors of solutions for the system (1.1) are different from those of (1.7).

The following example shows that asymptotic behaviors of solutions to (1.1) are more complicated even in the finite-dimensional case.

Also, we derive the asymptotic behavior of solution u(t).

Further, the asymptotic behavior of solution is established.

The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article.

In order to investigate the decay behavior of solution for problem (4.9), we assume that.

More specially, we will study the behavior of solution u(t) as t → 0+.

They, respectively, give the limit behavior of solution as (varepsilonrightarrow0) and the global solution and blow-up result.