Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term

被引：20

作者：

Soufyane, A. ^{[1
]}

Afilal, M. ^{[2
]}

Santos, M. L. ^{[3
]}

机构：

[1] Univ Sharjah, Coll Sci, Dept Math, POB 27272, Sharjah, U Arab Emirates

[2] Univ Cadi Ayyad, Fac Polydisciplinaire Safi, Dept Math & Informat, Marrakech, Morocco

[3] Fed Univ Para, Doctoral Program Math, Inst Exact & Nat Sci, Augusto Correa St 01, BR-66075110 Belem, PA, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 04期

关键词：

Piezoelectric beams; Energy decay; Nonlinear damping; Nonlinear delay term; STABILIZATION; INSTABILITY; STABILITY; BOUNDARY;

D O I：

10.1007/s00033-021-01593-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a one-dimensional piezoelectric beams with magnetic effect damped with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under appropriate assumptions on the weight of the delay, we establish an energy decay rate, using a perturbed energy method and some properties of a convex functions. Our result generalizes the recent result obtained in Ramos et al. (Z Angew Math Phys 72:26, 2021). https://doi.org/10.1007/s00033-020-01457-8.

引用

页数：12

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