Publication Cover
Applicable Analysis
An International Journal
Volume 11, 1981 - Issue 4
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Original Articles

A quadratic convergence scheme for determining families of periodic solutions

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Pages 243-257 | Published online: 02 May 2007

References

  • Bancroft , S. , Hale , J.K. and Sweet , D. 1968 . Alternative problems for non-linear functional equations . Jour. Diff. Eqns , 4 : 40 – 56 .
  • Bennett , A. and Palmore , J. 1968 . A new method for constructing periodic orbits in nonlinear dynamical systems . A.I.A.A. Jour , 4 : 998 – 1002 .
  • Cesari , L. 1972 . Nonlinear analysis . C.I.M.E. Conference , 4
  • Cesari , L. 1972 . Alternative methods in nonlinear analysis . International Conference on Differential Equations , 4
  • Hale , J.K. 1969 . Ordinary Differential Equations , New York : Wiley-Inter-science .
  • Kantorovich , L.V. 1964 . Functional Analysis in Normed Spaces , New York : MacMillan Company .
  • Ortega , J.M. and Rheinboldt , W.C. 1970 . Iterative Solutions of Nonlinear Equations In Several Variables , New York : Academic Press .
  • Sanchez , D. and Sweet , D. 1977 . An iteration scheme for determining equations of dynamical systems . J. Appl Anal , 6 : 223 – 228 .
  • Sweet , D. 1973 . Periodic solutions for dynamical systems possessing a first integral in the resonance case . Jour. Diff. Eqns , 14 : 171 – 183 .
  • Sweet , D. 1978 . An iteration scheme for periodic dynamical systems possessing a first integral . Jour. Diff'. Eqns , 14

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