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On the number of solutions of the equation\(\frac{{dx}}{{dt}} = \sum\limits_{j = 0}^n {a_j (t) x^j ,0 \leqq t \leqq 1,} \) for whichx(0)=x(1)

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References

  1. Coppel, W.A.: A survey of quadratic systems, Journal of Diff. Equations, 2, 1966

  2. Shi Songling: Concrete Example of the existence of four limit cycles for plane quadratic systems, Scientia Sinica vol. XXIII n0 1, Jan. 1980

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada, Rua Luiz de Camões 68-Centro, Rio de Janeiro, R.J., Brazil

    Alcides Lins Neto

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  1. Alcides Lins Neto
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This work was partially supported by an agreement between CNPq (Brasil) and NSF (USA). Its final version was written in November–December 1979 when I was visiting the IHES in Bures-sur-Yvette (France)

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Neto, A.L. On the number of solutions of the equation\(\frac{{dx}}{{dt}} = \sum\limits_{j = 0}^n {a_j (t) x^j ,0 \leqq t \leqq 1,} \) for whichx(0)=x(1). Invent Math 59, 67–76 (1980). https://doi.org/10.1007/BF01390315

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  • DOI: https://doi.org/10.1007/BF01390315

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