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Positive periodic solution for Brillouin electron beam focusing system

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  • An experimental conjecture on the existence of positive periodic solutions for the Brillouin electron beam focusing system $x''+a(1+\cos2t)x=\frac{1}{x}$ for $0 < a < 1$ is proved, using a topological degree theorem by Mawhin.
    Mathematics Subject Classification: Primary: 34B27; Secondary: 37C55.


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