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典型文献
Multiplicity of Homoclinic Solutions for Second Order Hamiltonian Systems with Local Conditions at the Origin
文献摘要:
In this paper,the multiplicity of homoclinic solutions for second order non-autonomous Hamiltonian systems ü(t)-L(t)u(t)+▽uW(t,u(t))=0 is obtained via a new Symmetric Mountain Pass Lemma established by Kajikiya,where L ∈ C(R,RN×N)is symmetric but non-periodic,W ∈C1(R×RN,R)is locally even in u and only satisfies some growth conditions near u=0,which improves some previous results.
文献关键词:
作者姓名:
Peng LIU;Fei GUO
作者机构:
School of Mathematics,Tianjin University,Tianjin 300354,P.R.China;Tianjin Key Laboratory of Brain-Inspired Intelligence Technology,Tianjin 300354,P.R.China
引用格式:
[1]Peng LIU;Fei GUO-.Multiplicity of Homoclinic Solutions for Second Order Hamiltonian Systems with Local Conditions at the Origin)[J].数学学报(英文版),2022(04):735-744
A类:
Homoclinic,Kajikiya
B类:
Multiplicity,Solutions,Second,Order,Hamiltonian,Systems,Local,Conditions,Origin,In,this,paper,multiplicity,homoclinic,solutions,second,order,autonomous,systems,uW,obtained,via,new,Symmetric,Mountain,Pass,Lemma,established,by,where,RN,symmetric,but,periodic,C1,locally,even,only,satisfies,some,growth,conditions,near,which,improves,previous,results
AB值:
0.764993
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