FORCED OSCILLATIONS IN STRONGLY DAMPED BEAM EQUATION

被引：0
|
作者：
Cwiszewski, Aleksander [1 ]
机构：
[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2011年 / 37卷 / 02期
关键词：
Beam equation; periodic solution; averaging; topological degree; fixed point index; EVOLUTION-EQUATIONS; EXTENSIBLE BEAM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the extensible beam equation in Ball's model admits periodic solutions near equilibrium states if subject to external periodic force of high frequency. The approach is based on translation along trajectories, averaging method and homotopy invariants such as topological degree and fixed point index.
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页码：259 / 282
页数：24
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