Sentence examples for memory boundary and from inspiring English sources

In Section 4 we show the general decay of the solutions to the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.

In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.

It is worth mentioning here that many authors have considered memory boundary terms (see [13] [16] and references therein).

The fractional boundary dissipation can also be regarded as a viscosity term and boundary conditions of memory boundary terms.

The asymptotic behavior of solutions for nonlinear wave and plate equations with memory boundary condition has been proved by many authors [6 12].

Thus, one can see that the nonlinear memory boundary plays an important role in accelerating the occurrence of a blow-up singularity.

In this section we derive the local solvability for a large class of semilinear parabolic equations with various nonlocal reaction terms and memory boundaries, which include (1.1).

In these cases, a temporally varying boundary may be more appropriate by allowing the boundary definition to expand with time, or even move with time for those fields where regions of older activity are considered no longer active – a limited-memory boundary could be imposed which is fitted only to the eruptions from the most recent x years.

Recently, Kang [9] proved the general decay of the solutions to a von Kármán plate model with memory and boundary damping.

The analysis revealed that telecare arrangements shaped particular forms of good aging by demanding identity, memory, and boundary work to align the user with the system.

Rivera and Menzala [5] and Rivera et al. [6] studied the stability of the solutions to a von Kármán system for viscoelastic plates with memory and boundary memory conditions, respectively.