强耗散可拉伸梁方程解的一致衰减性

冯保伟, 张明, 梁铁旺, 李海燕

doi:10.13371/j.cnki.chin.q.j.m.2014.01.018

数学季刊 >

2014 , Vol. 29 >Issue 1: 151 - 158

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.01.018

强耗散可拉伸梁方程解的一致衰减性

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1. College of Economic Mathematics, Southwestern University of Finance and Economics 2. College of Information Science and Technology, Donghua University 3. Department of Information and Arts Design, Henan Forestry Vocational College

FENG Bao-wei(1985-), male, native of Shangqiu, Henan, a Ph.D. candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.

收稿日期: 2013-06-15

网络出版日期: 2023-02-14

基金资助

Supported by the NNSF of China(11271066,11326158)； Supported by the grant of Shanghai Education Commission(13ZZ048)； Supported by the Doctoral Innovational Fund of Donghua University(BC201138)

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On Uniform Decay of Solutions for Extensible Beam Equation with Strong Damping

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1. College of Economic Mathematics, Southwestern University of Finance and Economics 2. College of Information Science and Technology, Donghua University 3. Department of Information and Arts Design, Henan Forestry Vocational College

FENG Bao-wei(1985-), male, native of Shangqiu, Henan, a Ph.D. candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.

Received date: 2013-06-15

Online published: 2023-02-14

Supported by

Supported by the NNSF of China(11271066,11326158)； Supported by the grant of Shanghai Education Commission(13ZZ048)； Supported by the Doctoral Innovational Fund of Donghua University(BC201138)

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摘要

This paper investigates the existence and uniform decay of global solutions to the initial and boundary value problem with clamped boundary conditions for a nonlinear beam equation with a strong damping.

关键词： extensible beam equation; global existence; uniqueness; uniform decay

本文引用格式

冯保伟, 张明, 梁铁旺, 李海燕 . 强耗散可拉伸梁方程解的一致衰减性[J]. 数学季刊, 2014 , 29(1) : 151 -158 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.018

Abstract

Key words： extensible beam equation; global existence; uniqueness; uniform decay

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Abstract