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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the center conditions of certain cubic systems
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by M. A. M. Alwash PDF
Proc. Amer. Math. Soc. 126 (1998), 3335-3336 Request permission

Abstract:

This paper provides a new simple proof of a recent result by C. B. Collins (Differential and Integral Equations 10 (1997), 333–356) to derive the center conditions for a class of planar cubic systems. The idea is to consider periodic solutions of a related scalar non-autonomous equation.
References
  • M. A. M. Alwash and N. G. Lloyd, Nonautonomous equations related to polynomial two-dimensional systems, Proc. Roy. Soc. Edinburgh Sect. A 105 (1987), 129–152. MR 890049, DOI 10.1017/S0308210500021971
  • C.B. Collins, Conditions for a center in a simple class of cubic system, Differential and Integral Equations, 10(2)(1997), 333-356.
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Additional Information
  • M. A. M. Alwash
  • Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095
  • Email: alwash@math.ucla.edu
  • Received by editor(s): April 1, 1997
  • Communicated by: Hal L. Smith
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3335-3336
  • MSC (1991): Primary 34C25; Secondary 34C05, 34C23
  • DOI: https://doi.org/10.1090/S0002-9939-98-04715-7
  • MathSciNet review: 1485453