Sentence examples for behavior of solution for from inspiring English sources

In this remark, we correct the proof of the asymptotic behavior of solution for the initial boundary value problem of semilinear pseudo-parabolic equations with critical initial energy obtained in Xu and Su (2013) [1].

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

In the following, we change the values of part parameters to observe the asymptotic behavior of solution for system (3).

This paper is concerned with the global existence, uniqueness, and asymptotic behavior of solution for the nonlinear wave equation with the -Laplacian operator (1.1).

Compare Figure 7 with Figure 4, the behavior of solution for system (2) is distinct from that for stochastic system (3).

We study the long-time behavior of solution for the -Laplacian equation in, in which the nonlinear term is a function like with,, or with and.

We also establish WKB asymptotic behavior of solutions for some energy-dependent potentials.

We consider existence and asymptotic behavior of solutions for an equation of the formε2 Δu−V x) u+f u)=0,  u>0,  u∈H10whereΔis a smooth domain in RN, not necessarily bounded.

Attractor is an important concept to describe long time behavior of solutions for a given system.

Moreover the behavior of solutions for one-dimensional problem with boundary was discussed in [11 18].

In Section 3, we investigate the asymptotic behavior of solutions for the problem (1.1 - 1.2 1.1 - 1.2