DECAY OF SOLUTIONS OF DAMPED KIRCHHOFF AND BEAM EQUATIONS

被引：0

作者：

Kalantarova, J. V. ^{[1
]}

Aliyeva, G. N. ^{[2
]}

机构：

[1] Izmir Univ Econ, Dept Math, Izmir, Turkey

[2] State Agr Univ, Dept Math & Phys, Ganja, Azerbaijan

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 13卷 / 01期

关键词：

Kirchhoff equation; damped beam equation; structural stability; uniform estimates; exponential decay of solutions; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain uniform estimates for solutions of second-order nonlinear nonautonomous differential-operator equation in a Hilbert space with structural damping. It is shown that when the given source term in the equation tends to zero as t -> infinity, the corresponding solution of the Cauchy problem for this equation also tends to zero as t -> infinity. Exponential decay of solutions for the corresponding autonomous equation is also obtained. Applications to the initial boundary value problems for some nonlinear Kirchhoff type and beam equations are given.

引用

页码：119 / 128

页数：10

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