Journal of Guangxi Normal University(Natural Science Edition) ›› 2015, Vol. 33 ›› Issue (1): 38-44.doi: 10.16088/j.issn.1001-6600.2015.01.007

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Some New Results for the Electron Beams Focusing System Model

ZHANG Mei-yue   

  1. College of Science, China University of Mining ＆ Technology, Xuzhou Jiangsu 221116,China
  • Received:2014-10-21 Online:2015-03-15 Published:2018-09-17

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Abstract: Electron beam focusing system theories are widely applied. In order to control the moving trace of electron beam and make it focus object effectivelly, the existence of positive periodic solution is studied based on the electron beam focusing system model. The sufficient condition and the region of the existence of at least a periodic solution for the model is found by using Krasnoselekii fixed point theorem in cone,then an example is given. The results show that the limited ranges of coefficient are reasonable and the method of theorem is correct. The previous results is extended and supplemented.

Key words: electron beam focusing, periodic solutions, existence, Krasnoselekii fixed point theorem

CLC Number: 

  • O175.8
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