典型文献
On a Damped Vibration Problem Involving p-Laplacian Operator:Fast Homoclinic Orbits
文献摘要:
In this paper,we deal with the nonlinear second-order differential equation with damped vibration term involving p-Laplacian operator.Of particular interest is the resolution of an open problem.An interesting outcome from our result is that we can obtain the fast homoclinic solution with general superlinear growth assumption in suitable Sobolev space.To our knowledge,our theorems appear to be the first such result about damped vibration problem with p-Laplacian operator.
文献关键词:
中图分类号:
作者姓名:
Peng CHEN;Xian-hua TANG;Yuan-yuan ZHANG
作者机构:
Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China;College of Science,China Three Gorges University,Yichang 443002,China;School of Mathematics and Statistics,Central South University,Changsha 410083,China
文献出处:
引用格式:
[1]Peng CHEN;Xian-hua TANG;Yuan-yuan ZHANG-.On a Damped Vibration Problem Involving p-Laplacian Operator:Fast Homoclinic Orbits)[J].应用数学学报(英文版),2022(02):368-387
A类:
Damped,Homoclinic,superlinear
B类:
On,Vibration,Problem,Involving,Laplacian,Operator,Fast,Orbits,this,paper,we,deal,nonlinear,second,order,differential,equation,damped,vibration,term,involving,operator,Of,particular,resolution,open,problem,An,interesting,outcome,from,our,result,that,can,obtain,fast,homoclinic,general,growth,assumption,suitable,Sobolev,space,To,knowledge,theorems,appear,be,first,such,about
AB值:
0.663003
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