REDUCIBILITY

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On the Reducibility of a Class of Linear Almost Periodic Differential Equations
《Communications in Mathematical Research》2019年第1期1-9,共9页Afzal Muhammad Guo Shu-zheng Li Yong 
The NSF(11571327) of China;NSF(ZR2013AM026) of Shandong Province
In this paper, we use KAM methods to prove that there are positive measure Cantor sets such that for small perturbation parameters in these Cantor sets a class of almost periodic linear differential equations are redu...
关键词：ALMOST PERIODIC REDUCIBILITY KAM ITERATION 
On ■-reducible 3-manifolds Which Admit Complete Surface Systems
《Communications in Mathematical Research》2017年第3期215-222,共8页Zhao Yan Lei Feng-chun Li Feng-ling 
The NSF(11329101,11431009,11329101,11471151 and 11401069)of China;the Fundamental Research Funds(DUT16LK40)for the Central Universities
In the present paper, we consider a class of compact orientable 3-manifolds with one boundary component, and suppose that the manifolds are ?-reducible and admit complete surface systems. One of our main results says ...
关键词：complete surface system ?-reducibility Heegaard splitting 
On Reducibility of Beam Equation with Quasi-periodic Forcing Potential
《Communications in Mathematical Research》2016年第4期289-302,共14页CHANG JING Li Yong 
The Science Research Plan(Jijiaokehezi[2016]166)of Jilin Province Education Department During the 13th Five-Year Period;the Science Research Starting Foundation(2015023)of Jilin Agricultural University
In this paper, the Dirichlet boundary value problems of the nonlinear beam equation utt ＋ △^2u ＋ αu ＋ εφ（t）（u ＋ u^3） = 0 , α 〉 0 in the dimension one is considered, where u（t,x） and φ（t...
关键词：beam equation infinite dimension Hamiltonian system KAM theory REDUCIBILITY 
An Algorithm for Reducibility of 3-arrangements
《Communications in Mathematical Research》2011年第1期62-68,共7页GAO RUI-MEI PEI DONG-HE 
The NSF(10871035)of China
We consider a central hyperplane arrangement in a three-dimensional vector space. The definition of characteristic form to a hyperplane arrangement is given and we could make use of characteristic form to judge the re...
关键词：hyperplane arrangement REDUCIBILITY FREENESS 
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