GENERAL DECAY OF SOLUTIONS OF A NONLINEAR TIMOSHENKO SYSTEM WITH A BOUNDARY CONTROL OF MEMORY TYPE

A. SOUFYANE; M. AFILAL; T. AOUAM

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GENERAL DECAY OF SOLUTIONS OF A NONLINEAR TIMOSHENKO SYSTEM WITH A BOUNDARY CONTROL OF MEMORY TYPE

机译：具有记忆型边界控制的非线性Timoshenko系统解的一般衰减。

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In this paper, we consider a nonlinear Timoshenko system, in a bounded domain, where the memory-type damping is acting on a part of the boundary. We establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases. Our work allows certain relaxation functions which are not necessarily of exponential or polynomial decay and, therefore, generalizes and improves earlier results in the literature.

机译：在本文中，我们考虑有界域中的非线性Timoshenko系统，其中记忆型阻尼作用于边界的一部分。我们建立了一个一般的衰减结果，从中通常的指数和多项式衰减率只是特殊情况。我们的工作允许某些松弛函数，它们不一定具有指数或多项式衰减，因此可以归纳和改进文献中的早期结果。

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《Differential and integral equations》 |2009年第12期|共15页
作者
A. SOUFYANE; M. AFILAL; T. AOUAM;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
boundary; general; decay;

机译：边界;一般;衰变;

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1. GENERAL DECAY OF SOLUTIONS OF A NONLINEAR TIMOSHENKO SYSTEM WITH A BOUNDARY CONTROL OF MEMORY TYPE [J] . A. SOUFYANE, M. AFILAL, T. AOUAM Differential and integral equations . 2009,第11a12期

机译：具有记忆型边界控制的非线性Timoshenko系统解的一般衰减。
2. Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory [J] . Liu Y., Kawashima S. Nonlinear Analysis: An International Multidisciplinary Journal . 2013,第Null期

机译：带有记忆的非线性Timoshenko系统解的整体存在性和渐近衰减
3. General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type [J] . Soufyane A, Afilal M, Aouam T, Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第11期

机译：具有记忆类型边界控制的线性一维多孔热弹性系统解的一般衰减
4. UNIFORM DECAY RATES OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH BOUNDARY CONDITION OF MEMORY TYPE [C] . Marcelo M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mauro L. Santos Conference on System Modeling and Optimization . 2005

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5. Nonlinear stochastic systems and controls: Lotka-Volterra type models, permanence and extinction, optimal harvesting strategies, and numerical methods for systems under partial observations [D] . Tran, Ky Quan. 2016

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6. Multiple Positive Solutions to Nonlinear Boundary Value Problems of a System for Fractional Differential Equations [O] . Chengbo Zhai, Mengru Hao -1

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7. Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary [O] . Santos M.L., Soares U.R. 2007

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8. Statisfaction of asymptotic boundary conditions in numerical solution of systems of nonlinear equations of boundary-layer type [R] . Nachtsheim, P. R., Swigert, P. 1965

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GENERAL DECAY OF SOLUTIONS OF A NONLINEAR TIMOSHENKO SYSTEM WITH A BOUNDARY CONTROL OF MEMORY TYPE

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