Blow-up of solutions for a nonlinear beam equation with fractional feedback

被引：5
|
作者：
Labidi, Soraya [2 ]
Tatar, Nasser-Eddine [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Univ Badji Mokhtar, Lab Math Appl, Annaba 23000, Algeria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 04期
关键词：
Blow up; Boundary feedback; Fractional derivative; Non-dissipative system; Singular kernel; GLOBAL-SOLUTIONS; WAVE-EQUATION; UNIFORM DECAY; NONEXISTENCE; EXISTENCE;
D O I：
10.1016/j.na.2010.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear beam equation describing the transversal vibrations of a beam with boundary feedback is considered. The boundary feedback involves a fractional derivative. We discuss the asymptotic behavior of solutions. In fact, we prove that solutions blow up in finite time under certain assumptions on the nonlinearity. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1402 / 1409
页数：8
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