具时滞和记忆项的非线性粘弹性波动方程解的爆破——纪念阳名珠先生  

Blow-up of Solutions for a Class Nonlinear Viscoelastic Wave Equations with Delay and Memory Terms

作　　者：张宏伟[1] 呼青英[1] 

机构地区：[1]河南工业大学数学系,郑州450001

出　　处：《应用泛函分析学报》2017年第1期71-79,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11526077;11601122)

摘　　要：本文研究一类具时滞和记忆项的非线性粘弹性波动方程的初边值问题.对初始条件、时滞项、记忆项、非线性源项和阻尼项附加适当的条件,利用凸性方法证明了能量解的爆破性,从而推广了已有文献的结果.In this paper, a class of nonlinear viscoelastic wave equations with initial boundary value condition, delay and memory terms is considered. Under suitable conditions on the initial data, the delay term and the nonlinear damping and source terms, the blow-up in a finite time of energy of solutions is obtained. This extends earlier results in the literatures.

关 键 词：时滞 非线性波动方程 初边值问题 爆破 

分 类 号：O175.29[理学—数学]