Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay

被引：0

作者：

Billal Lekdim

Ammar Khemmoudj

机构：

[1] University Ziane Achour of Djelfa,Department of Mathematics

[2] University of Science and Technology Houari Boumediene,Laboratory of SDG, Faculty of Mathematics

来源：

Ricerche di Matematica | 2024年 / 73卷

关键词：

Nonlinear vibrations; General decay; Kelvin Voigt damping; Faedo–Galerkin method; Nonlinear delay term; 35B40; 35L05; 35G61;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the longitudinal and transversal vibrations of the viscoelastic beam with nonlinear tension and nonlinear delay term under the general decay rate for relaxation function. The existence theorem is proved by the Faedo–Galerkin method and using suitable Lyapunov functional to establish the general decay result.

引用

页码：261 / 282

页数：21

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