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

Zaihong Wang; Jin Li; Tiantian Ma

doi:10.3934/dcdsb.2013.18.1995

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2013, Volume 18, Issue 7: 1995-1997. Doi: 10.3934/dcdsb.2013.18.1995

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

1.
School of Mathematical Sciences, Capital Normal University, Beijing 100048
2.
School of Mathematical Sciences, Capital Normal University, Beijing, 100048
3.
School of Mathematical Sciences, Beijing Normal University, Beijing 100875

Received: August 31, 2012

Revised: March 31, 2013

Published: August 2013

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Abstract

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,
Brillouin electron beam focusing system,
periodic solution.

Mathematics Subject Classification: Primary: 34C25; Secondary: 34B15.

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References

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