Stability conditions to Bresse systems with indefinite memory dissipation

被引：10

作者：

Fatori, Luci Harue ^{[1
]}

Alves, Michele de Oliveira ^{[1
]}

Fernandez Sare, Hugo D. ^{[2
]}

机构：

[1] Univ Estadual Londrina, Dept Matemat, Campus Univ, Londrina, Parana, Brazil

[2] Univ Fed Juiz de Fora, Dept Matemat, Juiz De Fora, Brazil

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 06期

关键词：

Scott Hansen; Bresse system; indefinite dissipation; strong stability; exponential stability; ASYMPTOTIC STABILITY; DECAY; ENERGY; RATES;

D O I：

10.1080/00036811.2018.1520982

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of Bresse system with non-dissipative kernel memory acting only in the equation of longitudinal displacement. We show that the exponential stability depends on conditions regarding the decay rate of the kernel and a new relationship between the coefficients of the system. Moreover, this new condition on the constants of the system is used to prove strong stability and exponential stability for the homogeneous case (frictional dissipation in the longitudinal equation).

引用

页码：1066 / 1084

页数：19

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