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September  2013, 18(7): 1995-1997. doi: 10.3934/dcdsb.2013.18.1995

An erratum note on the paper: Positive periodic solution for Brillouin electron beam focusing system

Zaihong Wang 1, , Jin Li 2, and  Tiantian Ma 3,

1. 

School of Mathematical Sciences, Capital Normal University, Beijing 100048
2. 

School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China
3. 

School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Received  September 2012 Revised  April 2013 Published  May 2013

In this paper, we point out an error in the paper: Positive periodic solution for Brillouin electron beam focusing system, Discrete Contin. Dyn. Syst. Ser. B, 16(2011), 385-392. Meanwhile, it is pointed out that, for $0 < a < 1$, the conjecture that the Brillouin electron beam focusing system $x''+a(1+\cos 2t)x=1/x$ admits positive periodic solutions is still an open problem.
Keywords: Liénard equation, periodic solution., Brillouin electron beam focusing system.
Mathematics Subject Classification: Primary: 34C25; Secondary: 34B1.
Citation: Zaihong Wang, Jin Li, Tiantian Ma. An erratum note on the paper: Positive periodic solution for Brillouin electron beam focusing system. Discrete & Continuous Dynamical Systems - B, 2013, 18 (7) : 1995-1997. doi: 10.3934/dcdsb.2013.18.1995
References:
[1]

Discrete Contin. Dyn. Syst. Ser. B, 16 (2011), 385-392. doi: 10.3934/dcdsb.2011.16.385.  Google Scholar

[2]

J. British Inst. Radio Engineers, 18 (1958), 696-708. Google Scholar

[3]

Qual. Theory Dyn. Syst., 3 (2002), 83-91. doi: 10.1007/BF02969334.  Google Scholar

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Discrete Contin. Dyn. Syst., 8 (2002), 907-930. doi: 10.3934/dcds.2002.8.907.  Google Scholar

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Acta Sci. Natur. Univ. Pekinensis, 11 (1965), 31-38. Google Scholar

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Acta Math. Appl. Sinica, 1 (1978), 13-41.  Google Scholar

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Proc. Roy. Soc. Edinburgh, Sect. A, 128 (1998), 1099-1114. doi: 10.1017/S0308210500030080.  Google Scholar

show all references

References:
[1]

Discrete Contin. Dyn. Syst. Ser. B, 16 (2011), 385-392. doi: 10.3934/dcdsb.2011.16.385.  Google Scholar

[2]

J. British Inst. Radio Engineers, 18 (1958), 696-708. Google Scholar

[3]

Qual. Theory Dyn. Syst., 3 (2002), 83-91. doi: 10.1007/BF02969334.  Google Scholar

[4]

Discrete Contin. Dyn. Syst., 8 (2002), 907-930. doi: 10.3934/dcds.2002.8.907.  Google Scholar

[5]

Acta Sci. Natur. Univ. Pekinensis, 11 (1965), 31-38. Google Scholar

[6]

Acta Math. Appl. Sinica, 1 (1978), 13-41.  Google Scholar

[7]

Proc. Roy. Soc. Edinburgh, Sect. A, 128 (1998), 1099-1114. doi: 10.1017/S0308210500030080.  Google Scholar

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