Sentence examples for behavior of global solutions from inspiring English sources

The following theorem shows the exponential asymptotic behavior of global solutions of problem (1.1)–(1.1).

Moreover, the asymptotic behavior of global solutions is investigated under some assumptions on the initial data.

And we study the asymptotic behavior of global solutions by applying the lemma of Komornik [16].

The following theorem shows the asymptotic behavior of global solutions of problem (1.1)–(1.1).

The following theorem shows the asymptotic behavior of global solutions of the problem (1.1 - 1.3).

In Section 4, we consider the asymptotic behavior of global solutions under some assumptions on the initial data.

In these papers, existence, boundedness, asymptotic behavior, and nonexistence of global solutions for problem (1.8)–(1.10) were studied.

We refer the readers to [2 7] for the existence of global solutions, asymptotic behavior, and stability for the KGS system and KGS system on infinite lattices.

The existence of global solutions and asymptotic behavior in time have been studied by several authors.

There have also been many profound results on the existence of global solutions and asymptotic behavior of the solutions for the initial boundary value problems and the initial value problems of fourth order nonlinear pseudo-parabolic equations.

The existence of global solutions for this problem is proved by constructing a stable set in and show the asymptotic behavior of the global solutions through the use of an important lemma of Komornik.