A BLOW-UP RESULT IN A CAUCHY VISCOELASTIC PROBLEM WITH A DELAYED STRONG DAMPING

Mohammad Kafini; Muhammad I. Mustafa

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A BLOW-UP RESULT IN A CAUCHY VISCOELASTIC PROBLEM WITH A DELAYED STRONG DAMPING

机译：具有延迟强度阻尼的Cauchy粘弹性问题的爆炸

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摘要

In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with delay in the strong damping. Under suitable conditions on the initial data and the relaxation function, we prove a finite-time blow-up result.

机译：在本文中，我们考虑了一种具有延迟强度阻尼的非线性粘弹性方程的Cauchy问题。在初始数据的合适条件下，我们证明了有限时间的爆炸结果。

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来源
《Dynamics of continuous, discrete & impulsive systems, Series B. Applications & algorithms》 |2018年第6期|共11页
作者
Mohammad Kafini; Muhammad I. Mustafa;
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作者单位

Department of Mathematics and Statistics KFUPM Dhahran 31261 Saudi Arabia;

Department of Mathematics and Statistics KFUPM Dhahran 31261 Saudi Arabia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Blow up; Cauchy problem; delay time; relaxation function; viscoelastic;

机译：爆炸;Cauchy问题;延迟时间;放松功能;粘弹性;

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专利

1. A BLOW-UP RESULT IN A CAUCHY VISCOELASTIC PROBLEM WITH A DELAYED STRONG DAMPING [J] . Mohammad Kafini, Muhammad I. Mustafa Dynamics of continuous, discrete & impulsive systems, Series B. Applications & algorithms . 2018,第5a6期

机译：具有延迟强度阻尼的Cauchy粘弹性问题的爆炸
2. Blow-up result in a Cauchy problem for the nonlinear viscoelastic Petrovsky equation [J] . Erhan Pi?kin International Journal of Advanced Mathematical Sciences . 2015,第1期

机译：爆破导致非线性粘弹性彼得罗夫斯基方程的柯西问题
3. A blow-up result in a Cauchy viscoelastic problem [J] . Kafini M, Messaoudi SA Applied mathematics letters . 2008,第6期

机译：爆炸导致柯西粘弹性问题
4. Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity [C] . Houria Chellaoua, Yamma Boukhatem International Conference of Mathematical Sciences . 2019

机译：浮动粘弹性任意衰减的摘要延迟演化方程的稳定性结果
5. Blow-up properties of Stochastic Delay Differential Equations. [D] . Hou, Zhuang. 2014

机译：随机时滞微分方程的爆破性质。
6. Vibration and damping characteristics of 3D printed Kagome lattice with viscoelastic material filling [O] . Rong Wang, Jianzhong Shang, Xin Li, -1

机译：充满粘弹性材料的3D打印Kagome晶格的振动和阻尼特性
7. Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms [O] . 2020

机译：具有分布式延迟的非线性粘弹性波方程的吹气与强衰退和源术语相结合

A BLOW-UP RESULT IN A CAUCHY VISCOELASTIC PROBLEM WITH A DELAYED STRONG DAMPING

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